What is the Least Common Multiple of 92496 and 92512?

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 92496 and 92512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92496 and 92512, than apply into the LCM equation.

GCF(92496,92512) = 16
LCM(92496,92512) = ( 92496 × 92512) / 16
LCM(92496,92512) = 8556989952 / 16
LCM(92496,92512) = 534811872

Least Common Multiple (LCM) of 92496 and 92512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92496 and 92512. First we will calculate the prime factors of 92496 and 92512.

Prime Factorization of 92496

Prime Factorization of 92512

Now multiplying the highest exponent prime factors to calculate the LCM of 92496 and 92512.

LCM(92496,92512) = 2⁵ × 3¹ × 41¹ × 47¹ × 7² × 59¹
LCM(92496,92512) = 534811872