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What is the Least Common Multiple of 91624 and 91641?

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 91641 is 8396514984.

LCM(91624,91641) = 8396514984

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Least Common Multiple of 91624 and 91641 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 91641, than apply into the LCM equation.

GCF(91624,91641) = 1
LCM(91624,91641) = ( 91624 × 91641) / 1
LCM(91624,91641) = 8396514984 / 1
LCM(91624,91641) = 8396514984

Least Common Multiple (LCM) of 91624 and 91641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91624 and 91641. First we will calculate the prime factors of 91624 and 91641.

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 91641

Prime factors of 91641 are 3, 11, 2777. Prime factorization of 91641 in exponential form is:

91641 = 31 × 111 × 27771

Now multiplying the highest exponent prime factors to calculate the LCM of 91624 and 91641.

LCM(91624,91641) = 23 × 131 × 8811 × 31 × 111 × 27771
LCM(91624,91641) = 8396514984