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What is the Least Common Multiple of 44442 and 44452?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 44442 and 44452 is 987767892.

LCM(44442,44452) = 987767892

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Least Common Multiple of 44442 and 44452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44442 and 44452, than apply into the LCM equation.

GCF(44442,44452) = 2
LCM(44442,44452) = ( 44442 × 44452) / 2
LCM(44442,44452) = 1975535784 / 2
LCM(44442,44452) = 987767892

Least Common Multiple (LCM) of 44442 and 44452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44442 and 44452. First we will calculate the prime factors of 44442 and 44452.

Prime Factorization of 44442

Prime factors of 44442 are 2, 3, 823. Prime factorization of 44442 in exponential form is:

44442 = 21 × 33 × 8231

Prime Factorization of 44452

Prime factors of 44452 are 2, 11113. Prime factorization of 44452 in exponential form is:

44452 = 22 × 111131

Now multiplying the highest exponent prime factors to calculate the LCM of 44442 and 44452.

LCM(44442,44452) = 22 × 33 × 8231 × 111131
LCM(44442,44452) = 987767892