What is the Least Common Multiple of 40635 and 40641?

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 40641 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 40641, than apply into the LCM equation.

GCF(40635,40641) = 3
LCM(40635,40641) = ( 40635 × 40641) / 3
LCM(40635,40641) = 1651447035 / 3
LCM(40635,40641) = 550482345

Least Common Multiple (LCM) of 40635 and 40641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40635 and 40641. First we will calculate the prime factors of 40635 and 40641.

Prime Factorization of 40635

Prime Factorization of 40641

Now multiplying the highest exponent prime factors to calculate the LCM of 40635 and 40641.

LCM(40635,40641) = 3³ × 5¹ × 7¹ × 43¹ × 19¹ × 23¹ × 31¹
LCM(40635,40641) = 550482345