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What is the Least Common Multiple of 92756 and 92772?

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 92756 and 92772 is 2151289908.

LCM(92756,92772) = 2151289908

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Least Common Multiple of 92756 and 92772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92756 and 92772, than apply into the LCM equation.

GCF(92756,92772) = 4
LCM(92756,92772) = ( 92756 × 92772) / 4
LCM(92756,92772) = 8605159632 / 4
LCM(92756,92772) = 2151289908

Least Common Multiple (LCM) of 92756 and 92772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92756 and 92772. First we will calculate the prime factors of 92756 and 92772.

Prime Factorization of 92756

Prime factors of 92756 are 2, 23189. Prime factorization of 92756 in exponential form is:

92756 = 22 × 231891

Prime Factorization of 92772

Prime factors of 92772 are 2, 3, 859. Prime factorization of 92772 in exponential form is:

92772 = 22 × 33 × 8591

Now multiplying the highest exponent prime factors to calculate the LCM of 92756 and 92772.

LCM(92756,92772) = 22 × 231891 × 33 × 8591
LCM(92756,92772) = 2151289908