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What is the Least Common Multiple of 91497 and 91504?

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 91497 and 91504 is 1196048784.

LCM(91497,91504) = 1196048784

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Least Common Multiple of 91497 and 91504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91497 and 91504, than apply into the LCM equation.

GCF(91497,91504) = 7
LCM(91497,91504) = ( 91497 × 91504) / 7
LCM(91497,91504) = 8372341488 / 7
LCM(91497,91504) = 1196048784

Least Common Multiple (LCM) of 91497 and 91504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91497 and 91504. First we will calculate the prime factors of 91497 and 91504.

Prime Factorization of 91497

Prime factors of 91497 are 3, 7, 4357. Prime factorization of 91497 in exponential form is:

91497 = 31 × 71 × 43571

Prime Factorization of 91504

Prime factors of 91504 are 2, 7, 19, 43. Prime factorization of 91504 in exponential form is:

91504 = 24 × 71 × 191 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 91497 and 91504.

LCM(91497,91504) = 31 × 71 × 43571 × 24 × 191 × 431
LCM(91497,91504) = 1196048784