What is the Least Common Multiple of 32736 and 32742?

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 32736 and 32742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32736 and 32742, than apply into the LCM equation.

GCF(32736,32742) = 6
LCM(32736,32742) = ( 32736 × 32742) / 6
LCM(32736,32742) = 1071842112 / 6
LCM(32736,32742) = 178640352

Least Common Multiple (LCM) of 32736 and 32742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32736 and 32742. First we will calculate the prime factors of 32736 and 32742.

Prime Factorization of 32736

Prime Factorization of 32742

Now multiplying the highest exponent prime factors to calculate the LCM of 32736 and 32742.

LCM(32736,32742) = 2⁵ × 3² × 11¹ × 31¹ × 17¹ × 107¹
LCM(32736,32742) = 178640352