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What is the Least Common Multiple of 91624 and 91636?

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 91624 and 91636 is 2099014216.

LCM(91624,91636) = 2099014216

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Least Common Multiple of 91624 and 91636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91624 and 91636, than apply into the LCM equation.

GCF(91624,91636) = 4
LCM(91624,91636) = ( 91624 × 91636) / 4
LCM(91624,91636) = 8396056864 / 4
LCM(91624,91636) = 2099014216

Least Common Multiple (LCM) of 91624 and 91636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91624 and 91636. First we will calculate the prime factors of 91624 and 91636.

Prime Factorization of 91624

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

91624 = 23 × 131 × 8811

Prime Factorization of 91636

Prime factors of 91636 are 2, 31, 739. Prime factorization of 91636 in exponential form is:

91636 = 22 × 311 × 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 91624 and 91636.

LCM(91624,91636) = 23 × 131 × 8811 × 311 × 7391
LCM(91624,91636) = 2099014216