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What is the Least Common Multiple of 91837 and 91857?

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 91837 and 91857 is 8435871309.

LCM(91837,91857) = 8435871309

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Least Common Multiple of 91837 and 91857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91837 and 91857, than apply into the LCM equation.

GCF(91837,91857) = 1
LCM(91837,91857) = ( 91837 × 91857) / 1
LCM(91837,91857) = 8435871309 / 1
LCM(91837,91857) = 8435871309

Least Common Multiple (LCM) of 91837 and 91857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91837 and 91857. First we will calculate the prime factors of 91837 and 91857.

Prime Factorization of 91837

Prime factors of 91837 are 91837. Prime factorization of 91837 in exponential form is:

91837 = 918371

Prime Factorization of 91857

Prime factors of 91857 are 3, 67, 457. Prime factorization of 91857 in exponential form is:

91857 = 31 × 671 × 4571

Now multiplying the highest exponent prime factors to calculate the LCM of 91837 and 91857.

LCM(91837,91857) = 918371 × 31 × 671 × 4571
LCM(91837,91857) = 8435871309