What is the Least Common Multiple of 92352 and 92368?

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 92352 and 92368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92352 and 92368, than apply into the LCM equation.

GCF(92352,92368) = 16
LCM(92352,92368) = ( 92352 × 92368) / 16
LCM(92352,92368) = 8530369536 / 16
LCM(92352,92368) = 533148096

Least Common Multiple (LCM) of 92352 and 92368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92352 and 92368. First we will calculate the prime factors of 92352 and 92368.

Prime Factorization of 92352

Prime Factorization of 92368

Now multiplying the highest exponent prime factors to calculate the LCM of 92352 and 92368.

LCM(92352,92368) = 2⁶ × 3¹ × 13¹ × 37¹ × 23¹ × 251¹
LCM(92352,92368) = 533148096