Given Numbers are 62, 70

We can find the LCM of 62, 70 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 62 and 70

Multiples of 62 =62,124,186,248,310,372,434,496,558,620,682,744,806,868,930,992,1054,

Multiples of 70 =70,140,210,280,350,420,490,560,630,700,770,840,910,980,1050,1120,1190,

Now, get the least common multiple of 62, 70 which is 2170

So, the LCM of 62, 70 is 2170.

One method for determining the LCM of 62 and 70 is to compare the prime factorization of each number. You can find the prime factorization for each number by following the instructions below:

Here is 62's prime factorization:

Prime factors of 62 are 2,31.

62 = 2¹×31¹

And this is 70's prime factorization:

Prime factors of 70 are 2, 5,7.

70 = 2¹×5¹×7¹

When comparing the prime factorization of these two numbers, look for the highest power to which each prime factor is raised. In this case, the following primary factors must be considered: 2,31, 5,7

2¹×5¹×7¹×31¹ = 2170

This shows that the LCM of 62 and 70 is 2170.

The first step in determining the Least Common Multiple of 62 and 70 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 62 and 70:

Lets look at the first ten multiples of these numbers, 62 and 70:

62,124,186,248,310,372,434,496,558,1054 are the first ten multiples of 62.

70,140,210,280,350,420,490,560,630,1190 are the first ten multiples of 70.

You can continue to list the multiples of these numbers until you find a match. Once you have found a match, or several matches, the Least Common Multiple is the smallest of these matches. The first matching multiple(s) of 62 and 70, for example, are 744, 1054, and 1120. 2170 is the least common multiple since it is the smallest.

62 and 70 have an LCM of 2170.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62 and 70, than apply into the LCM equation.

GCF(62,70) = 2
LCM(62,70) = ( 62 × 70) / 2
LCM(62,70) = 4340 / 2
LCM(62,70) = 2170

1. What is the LCM of 62 and 70?

The LCM of 62 and 70 is 2170.

2. How to find the lowest common multiple of 62 and 70?

To find the lowest common multiple of 62 and 70, we have to get the multip;es of both numbers and identify the least common multiple in them which is 2170.

3. What are the Factors of 62?

Answer: Factors of 62 are 1, 2, 31, 62. There are 4 integers that are factors of 62. The greatest factor of 62 is 62.

4. What are the Factors of 70?

Answer: Factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70. There are 8 integers that are factors of 70. The greatest factor of 70 is 70.

Answer:

Least Common Multiple of 62 and 70 = 2170

Step 1: Find the prime factorization of 62

62 = 2 x 31

Step 2: Find the prime factorization of 70

70 = 2 x 5 x 7

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 2170 = 2 x 5 x 7 x 31

Step 4: Therefore, the least common multiple of 62 and 70 is 2170.