What is the Least Common Multiple of 40608 and 40628?

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 40608 and 40628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40608 and 40628, than apply into the LCM equation.

GCF(40608,40628) = 4
LCM(40608,40628) = ( 40608 × 40628) / 4
LCM(40608,40628) = 1649821824 / 4
LCM(40608,40628) = 412455456

Least Common Multiple (LCM) of 40608 and 40628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40608 and 40628. First we will calculate the prime factors of 40608 and 40628.

Prime Factorization of 40608

Prime Factorization of 40628

Now multiplying the highest exponent prime factors to calculate the LCM of 40608 and 40628.

LCM(40608,40628) = 2⁵ × 3³ × 47¹ × 7¹ × 1451¹
LCM(40608,40628) = 412455456