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What is the Least Common Multiple of 86607 and 86615?

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 86607 and 86615 is 7501465305.

LCM(86607,86615) = 7501465305

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Least Common Multiple of 86607 and 86615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86607 and 86615, than apply into the LCM equation.

GCF(86607,86615) = 1
LCM(86607,86615) = ( 86607 × 86615) / 1
LCM(86607,86615) = 7501465305 / 1
LCM(86607,86615) = 7501465305

Least Common Multiple (LCM) of 86607 and 86615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86607 and 86615. First we will calculate the prime factors of 86607 and 86615.

Prime Factorization of 86607

Prime factors of 86607 are 3, 9623. Prime factorization of 86607 in exponential form is:

86607 = 32 × 96231

Prime Factorization of 86615

Prime factors of 86615 are 5, 17, 1019. Prime factorization of 86615 in exponential form is:

86615 = 51 × 171 × 10191

Now multiplying the highest exponent prime factors to calculate the LCM of 86607 and 86615.

LCM(86607,86615) = 32 × 96231 × 51 × 171 × 10191
LCM(86607,86615) = 7501465305