What is the Least Common Multiple of 40635 and 40644?

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 40635 and 40644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40635 and 40644, than apply into the LCM equation.

GCF(40635,40644) = 9
LCM(40635,40644) = ( 40635 × 40644) / 9
LCM(40635,40644) = 1651568940 / 9
LCM(40635,40644) = 183507660

Least Common Multiple (LCM) of 40635 and 40644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40635 and 40644. First we will calculate the prime factors of 40635 and 40644.

Prime Factorization of 40635

Prime Factorization of 40644

Now multiplying the highest exponent prime factors to calculate the LCM of 40635 and 40644.

LCM(40635,40644) = 3³ × 5¹ × 7¹ × 43¹ × 2² × 1129¹
LCM(40635,40644) = 183507660