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What is the Least Common Multiple of 92970 and 92988?

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 92970 and 92988 is 480283020.

LCM(92970,92988) = 480283020

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Least Common Multiple of 92970 and 92988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92970 and 92988, than apply into the LCM equation.

GCF(92970,92988) = 18
LCM(92970,92988) = ( 92970 × 92988) / 18
LCM(92970,92988) = 8645094360 / 18
LCM(92970,92988) = 480283020

Least Common Multiple (LCM) of 92970 and 92988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92970 and 92988. First we will calculate the prime factors of 92970 and 92988.

Prime Factorization of 92970

Prime factors of 92970 are 2, 3, 5, 1033. Prime factorization of 92970 in exponential form is:

92970 = 21 × 32 × 51 × 10331

Prime Factorization of 92988

Prime factors of 92988 are 2, 3, 7, 41. Prime factorization of 92988 in exponential form is:

92988 = 22 × 34 × 71 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 92970 and 92988.

LCM(92970,92988) = 22 × 34 × 51 × 10331 × 71 × 411
LCM(92970,92988) = 480283020