What is the Least Common Multiple of 32736 and 32744?

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 32744 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 32744, than apply into the LCM equation.

GCF(32736,32744) = 8
LCM(32736,32744) = ( 32736 × 32744) / 8
LCM(32736,32744) = 1071907584 / 8
LCM(32736,32744) = 133988448

Least Common Multiple (LCM) of 32736 and 32744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32736 and 32744. First we will calculate the prime factors of 32736 and 32744.

Prime Factorization of 32736

Prime Factorization of 32744

Now multiplying the highest exponent prime factors to calculate the LCM of 32736 and 32744.

LCM(32736,32744) = 2⁵ × 3¹ × 11¹ × 31¹ × 4093¹
LCM(32736,32744) = 133988448