What is the Least Common Multiple of 40644 and 40650?

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 40644 and 40650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40644 and 40650, than apply into the LCM equation.

GCF(40644,40650) = 6
LCM(40644,40650) = ( 40644 × 40650) / 6
LCM(40644,40650) = 1652178600 / 6
LCM(40644,40650) = 275363100

Least Common Multiple (LCM) of 40644 and 40650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40644 and 40650. First we will calculate the prime factors of 40644 and 40650.

Prime Factorization of 40644

Prime Factorization of 40650

Now multiplying the highest exponent prime factors to calculate the LCM of 40644 and 40650.

LCM(40644,40650) = 2² × 3² × 1129¹ × 5² × 271¹
LCM(40644,40650) = 275363100