What is the Least Common Multiple of 92672 and 92688?

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 92688 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 92688, than apply into the LCM equation.

GCF(92672,92688) = 16
LCM(92672,92688) = ( 92672 × 92688) / 16
LCM(92672,92688) = 8589582336 / 16
LCM(92672,92688) = 536848896

Least Common Multiple (LCM) of 92672 and 92688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92672 and 92688. First we will calculate the prime factors of 92672 and 92688.

Prime Factorization of 92672

Prime Factorization of 92688

Now multiplying the highest exponent prime factors to calculate the LCM of 92672 and 92688.

LCM(92672,92688) = 2⁹ × 181¹ × 3¹ × 1931¹
LCM(92672,92688) = 536848896