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Least Common Multiple of 44 and 50

Free LCM Calculator determines the least common multiple (LCM) between 44 and 50 the smallest integer that is 1100 that is divisible by both numbers.

Least Common Multiple (LCM) of 44 and 50 is 1100.

LCM(44,50) = 1100

LCM of 44 and 50

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple (LCM) of 44 and 50 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44 and 50. First we will calculate the prime factors of 44 and 50.

Prime Factorization of 44


2 44
2 22
11 11
1

Prime factors of 44 are 2,11. Prime factorization of 44 in exponential form is:

44 = 22×111

Prime Factorization of 50


2 50
5 25
5 5
1

Prime factors of 50 are 2,5. Prime factorization of 50 in exponential form is:

50 = 21×52

Now multiplying the highest exponent prime factors to calculate the LCM of 44 and 50.

LCM(44,50) = 22×52×111
LCM(44,50) = 1100

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Least Common Multiple of 44 and 50 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44 and 50, than apply into the LCM equation.

GCF(44,50) = 2
LCM(44,50) = ( 44 × 50) / 2
LCM(44,50) = 2200 / 2
LCM(44,50) = 1100

Properties of LCM 44 and 50

(i) The LCM of 50 and 44 is associative

LCM of 44 and 50 = LCM of 50 and 44

Frequently Asked Questions on LCM of 44 and 50

1. What is the LCM of 44 and 50?

Answer: LCM of 44 and 50 is 1100.

2. What are the Factors of 44?

Answer: Factors of 44 are 1, 2, 4, 11, 22, 44. There are 6 integers that are factors of 44. The greatest factor of 44 is 44.

3. What are the Factors of 50?

Answer: Factors of 50 are 1, 2, 5, 10, 25, 50. There are 6 integers that are factors of 50. The greatest factor of 50 is 50.

4. How to Find the LCM of 44 and 50?

Answer:

Least Common Multiple of 44 and 50 = 1100

Step 1: Find the prime factorization of 44

44 = 2 x 2 x 11

Step 2: Find the prime factorization of 50

50 = 2 x 5 x 5

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

LCM = 1100 = 2 x 2 x 5 x 5 x 11

Step 4: Therefore, the least common multiple of 44 and 50 is 1100.