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What is the Least Common Multiple of 91937 and 91944?

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 91937 and 91944 is 8453055528.

LCM(91937,91944) = 8453055528

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Least Common Multiple of 91937 and 91944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91937 and 91944, than apply into the LCM equation.

GCF(91937,91944) = 1
LCM(91937,91944) = ( 91937 × 91944) / 1
LCM(91937,91944) = 8453055528 / 1
LCM(91937,91944) = 8453055528

Least Common Multiple (LCM) of 91937 and 91944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91937 and 91944. First we will calculate the prime factors of 91937 and 91944.

Prime Factorization of 91937

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

91937 = 891 × 10331

Prime Factorization of 91944

Prime factors of 91944 are 2, 3, 1277. Prime factorization of 91944 in exponential form is:

91944 = 23 × 32 × 12771

Now multiplying the highest exponent prime factors to calculate the LCM of 91937 and 91944.

LCM(91937,91944) = 891 × 10331 × 23 × 32 × 12771
LCM(91937,91944) = 8453055528