What is the Least Common Multiple of 40608 and 40620?

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 40620 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 40620, than apply into the LCM equation.

GCF(40608,40620) = 12
LCM(40608,40620) = ( 40608 × 40620) / 12
LCM(40608,40620) = 1649496960 / 12
LCM(40608,40620) = 137458080

Least Common Multiple (LCM) of 40608 and 40620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40608 and 40620. First we will calculate the prime factors of 40608 and 40620.

Prime Factorization of 40608

Prime Factorization of 40620

Now multiplying the highest exponent prime factors to calculate the LCM of 40608 and 40620.

LCM(40608,40620) = 2⁵ × 3³ × 47¹ × 5¹ × 677¹
LCM(40608,40620) = 137458080