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What is the Least Common Multiple of 92615 and 92635?

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 92615 and 92635 is 1715878105.

LCM(92615,92635) = 1715878105

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Least Common Multiple of 92615 and 92635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92615 and 92635, than apply into the LCM equation.

GCF(92615,92635) = 5
LCM(92615,92635) = ( 92615 × 92635) / 5
LCM(92615,92635) = 8579390525 / 5
LCM(92615,92635) = 1715878105

Least Common Multiple (LCM) of 92615 and 92635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92615 and 92635. First we will calculate the prime factors of 92615 and 92635.

Prime Factorization of 92615

Prime factors of 92615 are 5, 18523. Prime factorization of 92615 in exponential form is:

92615 = 51 × 185231

Prime Factorization of 92635

Prime factors of 92635 are 5, 97, 191. Prime factorization of 92635 in exponential form is:

92635 = 51 × 971 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 92615 and 92635.

LCM(92615,92635) = 51 × 185231 × 971 × 1911
LCM(92615,92635) = 1715878105