What is the Least Common Multiple of 68352 and 68372?

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 68352 and 68372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68352 and 68372, than apply into the LCM equation.

GCF(68352,68372) = 4
LCM(68352,68372) = ( 68352 × 68372) / 4
LCM(68352,68372) = 4673362944 / 4
LCM(68352,68372) = 1168340736

Least Common Multiple (LCM) of 68352 and 68372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68352 and 68372. First we will calculate the prime factors of 68352 and 68372.

Prime Factorization of 68352

Prime Factorization of 68372

Now multiplying the highest exponent prime factors to calculate the LCM of 68352 and 68372.

LCM(68352,68372) = 2⁸ × 3¹ × 89¹ × 17093¹
LCM(68352,68372) = 1168340736