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What is the Least Common Multiple of 92972 and 92985?

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 92972 and 92985 is 8645001420.

LCM(92972,92985) = 8645001420

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Least Common Multiple of 92972 and 92985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92972 and 92985, than apply into the LCM equation.

GCF(92972,92985) = 1
LCM(92972,92985) = ( 92972 × 92985) / 1
LCM(92972,92985) = 8645001420 / 1
LCM(92972,92985) = 8645001420

Least Common Multiple (LCM) of 92972 and 92985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92972 and 92985. First we will calculate the prime factors of 92972 and 92985.

Prime Factorization of 92972

Prime factors of 92972 are 2, 11, 2113. Prime factorization of 92972 in exponential form is:

92972 = 22 × 111 × 21131

Prime Factorization of 92985

Prime factors of 92985 are 3, 5, 6199. Prime factorization of 92985 in exponential form is:

92985 = 31 × 51 × 61991

Now multiplying the highest exponent prime factors to calculate the LCM of 92972 and 92985.

LCM(92972,92985) = 22 × 111 × 21131 × 31 × 51 × 61991
LCM(92972,92985) = 8645001420