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What is the Least Common Multiple of 44987 and 44992?

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 44987 and 44992 is 2024055104.

LCM(44987,44992) = 2024055104

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Least Common Multiple of 44987 and 44992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44987 and 44992, than apply into the LCM equation.

GCF(44987,44992) = 1
LCM(44987,44992) = ( 44987 × 44992) / 1
LCM(44987,44992) = 2024055104 / 1
LCM(44987,44992) = 2024055104

Least Common Multiple (LCM) of 44987 and 44992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44987 and 44992. First we will calculate the prime factors of 44987 and 44992.

Prime Factorization of 44987

Prime factors of 44987 are 44987. Prime factorization of 44987 in exponential form is:

44987 = 449871

Prime Factorization of 44992

Prime factors of 44992 are 2, 19, 37. Prime factorization of 44992 in exponential form is:

44992 = 26 × 191 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 44987 and 44992.

LCM(44987,44992) = 449871 × 26 × 191 × 371
LCM(44987,44992) = 2024055104