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What is the Least Common Multiple of 91497 and 91515?

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 91515 is 2791115985.

LCM(91497,91515) = 2791115985

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Least Common Multiple of 91497 and 91515 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 91515, than apply into the LCM equation.

GCF(91497,91515) = 3
LCM(91497,91515) = ( 91497 × 91515) / 3
LCM(91497,91515) = 8373347955 / 3
LCM(91497,91515) = 2791115985

Least Common Multiple (LCM) of 91497 and 91515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91497 and 91515. First we will calculate the prime factors of 91497 and 91515.

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 91515

Prime factors of 91515 are 3, 5, 6101. Prime factorization of 91515 in exponential form is:

91515 = 31 × 51 × 61011

Now multiplying the highest exponent prime factors to calculate the LCM of 91497 and 91515.

LCM(91497,91515) = 31 × 71 × 43571 × 51 × 61011
LCM(91497,91515) = 2791115985