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What is the Least Common Multiple of 91537 and 91548?

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 91537 and 91548 is 8380029276.

LCM(91537,91548) = 8380029276

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Least Common Multiple of 91537 and 91548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91537 and 91548, than apply into the LCM equation.

GCF(91537,91548) = 1
LCM(91537,91548) = ( 91537 × 91548) / 1
LCM(91537,91548) = 8380029276 / 1
LCM(91537,91548) = 8380029276

Least Common Multiple (LCM) of 91537 and 91548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91537 and 91548. First we will calculate the prime factors of 91537 and 91548.

Prime Factorization of 91537

Prime factors of 91537 are 239, 383. Prime factorization of 91537 in exponential form is:

91537 = 2391 × 3831

Prime Factorization of 91548

Prime factors of 91548 are 2, 3, 2543. Prime factorization of 91548 in exponential form is:

91548 = 22 × 32 × 25431

Now multiplying the highest exponent prime factors to calculate the LCM of 91537 and 91548.

LCM(91537,91548) = 2391 × 3831 × 22 × 32 × 25431
LCM(91537,91548) = 8380029276