What is the Least Common Multiple of 43656 and 43664?

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 43656 and 43664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43656 and 43664, than apply into the LCM equation.

GCF(43656,43664) = 8
LCM(43656,43664) = ( 43656 × 43664) / 8
LCM(43656,43664) = 1906195584 / 8
LCM(43656,43664) = 238274448

Least Common Multiple (LCM) of 43656 and 43664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43656 and 43664. First we will calculate the prime factors of 43656 and 43664.

Prime Factorization of 43656

Prime Factorization of 43664

Now multiplying the highest exponent prime factors to calculate the LCM of 43656 and 43664.

LCM(43656,43664) = 2⁴ × 3¹ × 17¹ × 107¹ × 2729¹
LCM(43656,43664) = 238274448