What is the Least Common Multiple of 68736 and 68748?

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 68736 and 68748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68736 and 68748, than apply into the LCM equation.

GCF(68736,68748) = 12
LCM(68736,68748) = ( 68736 × 68748) / 12
LCM(68736,68748) = 4725462528 / 12
LCM(68736,68748) = 393788544

Least Common Multiple (LCM) of 68736 and 68748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68736 and 68748. First we will calculate the prime factors of 68736 and 68748.

Prime Factorization of 68736

Prime Factorization of 68748

Now multiplying the highest exponent prime factors to calculate the LCM of 68736 and 68748.

LCM(68736,68748) = 2⁷ × 3¹ × 179¹ × 17¹ × 337¹
LCM(68736,68748) = 393788544