What is the Least Common Multiple of 92328 and 92336?

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 92328 and 92336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92328 and 92336, than apply into the LCM equation.

GCF(92328,92336) = 8
LCM(92328,92336) = ( 92328 × 92336) / 8
LCM(92328,92336) = 8525198208 / 8
LCM(92328,92336) = 1065649776

Least Common Multiple (LCM) of 92328 and 92336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92328 and 92336. First we will calculate the prime factors of 92328 and 92336.

Prime Factorization of 92328

Prime Factorization of 92336

Now multiplying the highest exponent prime factors to calculate the LCM of 92328 and 92336.

LCM(92328,92336) = 2⁴ × 3¹ × 3847¹ × 29¹ × 199¹
LCM(92328,92336) = 1065649776