What is the Least Common Multiple of 92672 and 92687?

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 of 92672 and 92687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92672 and 92687, than apply into the LCM equation.

GCF(92672,92687) = 1
LCM(92672,92687) = ( 92672 × 92687) / 1
LCM(92672,92687) = 8589489664 / 1
LCM(92672,92687) = 8589489664

Least Common Multiple (LCM) of 92672 and 92687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92672 and 92687. First we will calculate the prime factors of 92672 and 92687.

Prime Factorization of 92672

Prime Factorization of 92687

Now multiplying the highest exponent prime factors to calculate the LCM of 92672 and 92687.

LCM(92672,92687) = 2⁹ × 181¹ × 7¹ × 13241¹
LCM(92672,92687) = 8589489664