Given Numbers are 73, 77

We can find the LCM of 73, 77 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 73 and 77

Multiples of 73 =73,146,219,292,365,438,511,584,657,730,803,876,949,1022,1095,1168,1241,

Multiples of 77 =77,154,231,308,385,462,539,616,693,770,847,924,1001,1078,1155,1232,1309,

Now, get the least common multiple of 73, 77 which is 5621

So, the LCM of 73, 77 is 5621.

One method for determining the LCM of 73 and 77 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 73's prime factorization:

Prime factors of 73 are 73.

73 = 73¹

And this is 77's prime factorization:

Prime factors of 77 are 7,11.

77 = 7¹×11¹

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:73, 7,11

7¹×11¹×73¹ = 5621

This shows that the LCM of 73 and 77 is 5621.

The first step in determining the Least Common Multiple of 73 and 77 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 73 and 77:

Lets look at the first ten multiples of these numbers, 73 and 77:

73,146,219,292,365,438,511,584,657,1241 are the first ten multiples of 73.

77,154,231,308,385,462,539,616,693,1309 are the first ten multiples of 77.

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 73 and 77, for example, are 876, 1241, and 1232. 5621 is the least common multiple since it is the smallest.

73 and 77 have an LCM of 5621.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73 and 77, than apply into the LCM equation.

GCF(73,77) = 1
LCM(73,77) = ( 73 × 77) / 1
LCM(73,77) = 5621 / 1
LCM(73,77) = 5621

1. What is the LCM of 73 and 77?

The LCM of 73 and 77 is 5621.

2. How to find the lowest common multiple of 73 and 77?

To find the lowest common multiple of 73 and 77, we have to get the multip;es of both numbers and identify the least common multiple in them which is 5621.

3. What are the Factors of 73?

Answer: Factors of 73 are 1, 73. There are 2 integers that are factors of 73. The greatest factor of 73 is 73.

4. What are the Factors of 77?

Answer: Factors of 77 are 1, 7, 11, 77. There are 4 integers that are factors of 77. The greatest factor of 77 is 77.

Answer:

Least Common Multiple of 73 and 77 = 5621

Step 1: Find the prime factorization of 73

73 = 73

Step 2: Find the prime factorization of 77

77 = 7 x 11

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

LCM = 5621 = 7 x 11 x 73

Step 4: Therefore, the least common multiple of 73 and 77 is 5621.