What is the Least Common Multiple of 32716 and 32736?

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 32716 and 32736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32716 and 32736, than apply into the LCM equation.

GCF(32716,32736) = 4
LCM(32716,32736) = ( 32716 × 32736) / 4
LCM(32716,32736) = 1070990976 / 4
LCM(32716,32736) = 267747744

Least Common Multiple (LCM) of 32716 and 32736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32716 and 32736. First we will calculate the prime factors of 32716 and 32736.

Prime Factorization of 32716

Prime Factorization of 32736

Now multiplying the highest exponent prime factors to calculate the LCM of 32716 and 32736.

LCM(32716,32736) = 2⁵ × 8179¹ × 3¹ × 11¹ × 31¹
LCM(32716,32736) = 267747744