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What is the Least Common Multiple of 88921 and 88937?

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 88921 and 88937 is 7908366977.

LCM(88921,88937) = 7908366977

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Least Common Multiple of 88921 and 88937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88921 and 88937, than apply into the LCM equation.

GCF(88921,88937) = 1
LCM(88921,88937) = ( 88921 × 88937) / 1
LCM(88921,88937) = 7908366977 / 1
LCM(88921,88937) = 7908366977

Least Common Multiple (LCM) of 88921 and 88937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88921 and 88937. First we will calculate the prime factors of 88921 and 88937.

Prime Factorization of 88921

Prime factors of 88921 are 7, 12703. Prime factorization of 88921 in exponential form is:

88921 = 71 × 127031

Prime Factorization of 88937

Prime factors of 88937 are 88937. Prime factorization of 88937 in exponential form is:

88937 = 889371

Now multiplying the highest exponent prime factors to calculate the LCM of 88921 and 88937.

LCM(88921,88937) = 71 × 127031 × 889371
LCM(88921,88937) = 7908366977