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What is the Least Common Multiple of 91521 and 91536?

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 91521 and 91536 is 2792488752.

LCM(91521,91536) = 2792488752

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Least Common Multiple of 91521 and 91536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91521 and 91536, than apply into the LCM equation.

GCF(91521,91536) = 3
LCM(91521,91536) = ( 91521 × 91536) / 3
LCM(91521,91536) = 8377466256 / 3
LCM(91521,91536) = 2792488752

Least Common Multiple (LCM) of 91521 and 91536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91521 and 91536. First we will calculate the prime factors of 91521 and 91536.

Prime Factorization of 91521

Prime factors of 91521 are 3, 10169. Prime factorization of 91521 in exponential form is:

91521 = 32 × 101691

Prime Factorization of 91536

Prime factors of 91536 are 2, 3, 1907. Prime factorization of 91536 in exponential form is:

91536 = 24 × 31 × 19071

Now multiplying the highest exponent prime factors to calculate the LCM of 91521 and 91536.

LCM(91521,91536) = 32 × 101691 × 24 × 19071
LCM(91521,91536) = 2792488752