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What is the Least Common Multiple of 91857 and 91872?

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 91857 and 91872 is 2813028768.

LCM(91857,91872) = 2813028768

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Least Common Multiple of 91857 and 91872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91857 and 91872, than apply into the LCM equation.

GCF(91857,91872) = 3
LCM(91857,91872) = ( 91857 × 91872) / 3
LCM(91857,91872) = 8439086304 / 3
LCM(91857,91872) = 2813028768

Least Common Multiple (LCM) of 91857 and 91872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91857 and 91872. First we will calculate the prime factors of 91857 and 91872.

Prime Factorization of 91857

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

91857 = 31 × 671 × 4571

Prime Factorization of 91872

Prime factors of 91872 are 2, 3, 11, 29. Prime factorization of 91872 in exponential form is:

91872 = 25 × 32 × 111 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 91857 and 91872.

LCM(91857,91872) = 32 × 671 × 4571 × 25 × 111 × 291
LCM(91857,91872) = 2813028768