What is the Least Common Multiple of 43638 and 43656?

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 43638 and 43656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43638 and 43656, than apply into the LCM equation.

GCF(43638,43656) = 6
LCM(43638,43656) = ( 43638 × 43656) / 6
LCM(43638,43656) = 1905060528 / 6
LCM(43638,43656) = 317510088

Least Common Multiple (LCM) of 43638 and 43656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43638 and 43656. First we will calculate the prime factors of 43638 and 43656.

Prime Factorization of 43638

Prime Factorization of 43656

Now multiplying the highest exponent prime factors to calculate the LCM of 43638 and 43656.

LCM(43638,43656) = 2³ × 3¹ × 7¹ × 1039¹ × 17¹ × 107¹
LCM(43638,43656) = 317510088