What is the Least Common Multiple of 68352 and 68358?

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 68358 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 68358, than apply into the LCM equation.

GCF(68352,68358) = 6
LCM(68352,68358) = ( 68352 × 68358) / 6
LCM(68352,68358) = 4672406016 / 6
LCM(68352,68358) = 778734336

Least Common Multiple (LCM) of 68352 and 68358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68352 and 68358. First we will calculate the prime factors of 68352 and 68358.

Prime Factorization of 68352

Prime Factorization of 68358

Now multiplying the highest exponent prime factors to calculate the LCM of 68352 and 68358.

LCM(68352,68358) = 2⁸ × 3¹ × 89¹ × 11393¹
LCM(68352,68358) = 778734336