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What is the Least Common Multiple of 49927 and 49937?

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 49927 and 49937 is 2493204599.

LCM(49927,49937) = 2493204599

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Least Common Multiple of 49927 and 49937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49927 and 49937, than apply into the LCM equation.

GCF(49927,49937) = 1
LCM(49927,49937) = ( 49927 × 49937) / 1
LCM(49927,49937) = 2493204599 / 1
LCM(49927,49937) = 2493204599

Least Common Multiple (LCM) of 49927 and 49937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49927 and 49937. First we will calculate the prime factors of 49927 and 49937.

Prime Factorization of 49927

Prime factors of 49927 are 49927. Prime factorization of 49927 in exponential form is:

49927 = 499271

Prime Factorization of 49937

Prime factors of 49937 are 49937. Prime factorization of 49937 in exponential form is:

49937 = 499371

Now multiplying the highest exponent prime factors to calculate the LCM of 49927 and 49937.

LCM(49927,49937) = 499271 × 499371
LCM(49927,49937) = 2493204599