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What is the Least Common Multiple of 91610 and 91624?

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 91610 and 91624 is 4196837320.

LCM(91610,91624) = 4196837320

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Least Common Multiple of 91610 and 91624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91610 and 91624, than apply into the LCM equation.

GCF(91610,91624) = 2
LCM(91610,91624) = ( 91610 × 91624) / 2
LCM(91610,91624) = 8393674640 / 2
LCM(91610,91624) = 4196837320

Least Common Multiple (LCM) of 91610 and 91624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91610 and 91624. First we will calculate the prime factors of 91610 and 91624.

Prime Factorization of 91610

Prime factors of 91610 are 2, 5, 9161. Prime factorization of 91610 in exponential form is:

91610 = 21 × 51 × 91611

Prime Factorization of 91624

Prime factors of 91624 are 2, 13, 881. Prime factorization of 91624 in exponential form is:

91624 = 23 × 131 × 8811

Now multiplying the highest exponent prime factors to calculate the LCM of 91610 and 91624.

LCM(91610,91624) = 23 × 51 × 91611 × 131 × 8811
LCM(91610,91624) = 4196837320