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What is the Least Common Multiple of 92964 and 92970?

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 92964 and 92970 is 1440477180.

LCM(92964,92970) = 1440477180

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Least Common Multiple of 92964 and 92970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92964 and 92970, than apply into the LCM equation.

GCF(92964,92970) = 6
LCM(92964,92970) = ( 92964 × 92970) / 6
LCM(92964,92970) = 8642863080 / 6
LCM(92964,92970) = 1440477180

Least Common Multiple (LCM) of 92964 and 92970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92964 and 92970. First we will calculate the prime factors of 92964 and 92970.

Prime Factorization of 92964

Prime factors of 92964 are 2, 3, 61, 127. Prime factorization of 92964 in exponential form is:

92964 = 22 × 31 × 611 × 1271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 92964 and 92970.

LCM(92964,92970) = 22 × 32 × 611 × 1271 × 51 × 10331
LCM(92964,92970) = 1440477180