What is the Least Common Multiple of 68736 and 68742?

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 68742 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 68742, than apply into the LCM equation.

GCF(68736,68742) = 6
LCM(68736,68742) = ( 68736 × 68742) / 6
LCM(68736,68742) = 4725050112 / 6
LCM(68736,68742) = 787508352

Least Common Multiple (LCM) of 68736 and 68742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68736 and 68742. First we will calculate the prime factors of 68736 and 68742.

Prime Factorization of 68736

Prime Factorization of 68742

Now multiplying the highest exponent prime factors to calculate the LCM of 68736 and 68742.

LCM(68736,68742) = 2⁷ × 3³ × 179¹ × 19¹ × 67¹
LCM(68736,68742) = 787508352