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What is the Least Common Multiple of 92615 and 92625?

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 92625 is 1715692875.

LCM(92615,92625) = 1715692875

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Least Common Multiple of 92615 and 92625 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 92625, than apply into the LCM equation.

GCF(92615,92625) = 5
LCM(92615,92625) = ( 92615 × 92625) / 5
LCM(92615,92625) = 8578464375 / 5
LCM(92615,92625) = 1715692875

Least Common Multiple (LCM) of 92615 and 92625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92615 and 92625. First we will calculate the prime factors of 92615 and 92625.

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 92625

Prime factors of 92625 are 3, 5, 13, 19. Prime factorization of 92625 in exponential form is:

92625 = 31 × 53 × 131 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 92615 and 92625.

LCM(92615,92625) = 53 × 185231 × 31 × 131 × 191
LCM(92615,92625) = 1715692875