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What is the Least Common Multiple of 91923 and 91937?

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 91923 and 91937 is 8451124851.

LCM(91923,91937) = 8451124851

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Least Common Multiple of 91923 and 91937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91923 and 91937, than apply into the LCM equation.

GCF(91923,91937) = 1
LCM(91923,91937) = ( 91923 × 91937) / 1
LCM(91923,91937) = 8451124851 / 1
LCM(91923,91937) = 8451124851

Least Common Multiple (LCM) of 91923 and 91937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91923 and 91937. First we will calculate the prime factors of 91923 and 91937.

Prime Factorization of 91923

Prime factors of 91923 are 3, 13, 2357. Prime factorization of 91923 in exponential form is:

91923 = 31 × 131 × 23571

Prime Factorization of 91937

Prime factors of 91937 are 89, 1033. Prime factorization of 91937 in exponential form is:

91937 = 891 × 10331

Now multiplying the highest exponent prime factors to calculate the LCM of 91923 and 91937.

LCM(91923,91937) = 31 × 131 × 23571 × 891 × 10331
LCM(91923,91937) = 8451124851