What is the Least Common Multiple of 43635 and 43641?

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 43635 and 43641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43635 and 43641, than apply into the LCM equation.

GCF(43635,43641) = 3
LCM(43635,43641) = ( 43635 × 43641) / 3
LCM(43635,43641) = 1904275035 / 3
LCM(43635,43641) = 634758345

Least Common Multiple (LCM) of 43635 and 43641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43635 and 43641. First we will calculate the prime factors of 43635 and 43641.

Prime Factorization of 43635

Prime Factorization of 43641

Now multiplying the highest exponent prime factors to calculate the LCM of 43635 and 43641.

LCM(43635,43641) = 3² × 5¹ × 2909¹ × 13¹ × 373¹
LCM(43635,43641) = 634758345