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What is the Least Common Multiple of 92992 and 92997?

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 92992 and 92997 is 8647977024.

LCM(92992,92997) = 8647977024

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Least Common Multiple of 92992 and 92997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92992 and 92997, than apply into the LCM equation.

GCF(92992,92997) = 1
LCM(92992,92997) = ( 92992 × 92997) / 1
LCM(92992,92997) = 8647977024 / 1
LCM(92992,92997) = 8647977024

Least Common Multiple (LCM) of 92992 and 92997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92992 and 92997. First we will calculate the prime factors of 92992 and 92997.

Prime Factorization of 92992

Prime factors of 92992 are 2, 1453. Prime factorization of 92992 in exponential form is:

92992 = 26 × 14531

Prime Factorization of 92997

Prime factors of 92997 are 3, 10333. Prime factorization of 92997 in exponential form is:

92997 = 32 × 103331

Now multiplying the highest exponent prime factors to calculate the LCM of 92992 and 92997.

LCM(92992,92997) = 26 × 14531 × 32 × 103331
LCM(92992,92997) = 8647977024