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What is the Least Common Multiple of 91493 and 91497?

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 91493 and 91497 is 8371335021.

LCM(91493,91497) = 8371335021

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Least Common Multiple of 91493 and 91497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91493 and 91497, than apply into the LCM equation.

GCF(91493,91497) = 1
LCM(91493,91497) = ( 91493 × 91497) / 1
LCM(91493,91497) = 8371335021 / 1
LCM(91493,91497) = 8371335021

Least Common Multiple (LCM) of 91493 and 91497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91493 and 91497. First we will calculate the prime factors of 91493 and 91497.

Prime Factorization of 91493

Prime factors of 91493 are 91493. Prime factorization of 91493 in exponential form is:

91493 = 914931

Prime Factorization of 91497

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

91497 = 31 × 71 × 43571

Now multiplying the highest exponent prime factors to calculate the LCM of 91493 and 91497.

LCM(91493,91497) = 914931 × 31 × 71 × 43571
LCM(91493,91497) = 8371335021