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What is the Least Common Multiple of 97599 and 97615?

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 97599 and 97615 is 9527126385.

LCM(97599,97615) = 9527126385

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Least Common Multiple of 97599 and 97615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97599 and 97615, than apply into the LCM equation.

GCF(97599,97615) = 1
LCM(97599,97615) = ( 97599 × 97615) / 1
LCM(97599,97615) = 9527126385 / 1
LCM(97599,97615) = 9527126385

Least Common Multiple (LCM) of 97599 and 97615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97599 and 97615. First we will calculate the prime factors of 97599 and 97615.

Prime Factorization of 97599

Prime factors of 97599 are 3, 32533. Prime factorization of 97599 in exponential form is:

97599 = 31 × 325331

Prime Factorization of 97615

Prime factors of 97615 are 5, 7, 2789. Prime factorization of 97615 in exponential form is:

97615 = 51 × 71 × 27891

Now multiplying the highest exponent prime factors to calculate the LCM of 97599 and 97615.

LCM(97599,97615) = 31 × 325331 × 51 × 71 × 27891
LCM(97599,97615) = 9527126385