What is the Least Common Multiple of 43635 and 43647?

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 43647 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 43647, than apply into the LCM equation.

GCF(43635,43647) = 3
LCM(43635,43647) = ( 43635 × 43647) / 3
LCM(43635,43647) = 1904536845 / 3
LCM(43635,43647) = 634845615

Least Common Multiple (LCM) of 43635 and 43647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43635 and 43647. First we will calculate the prime factors of 43635 and 43647.

Prime Factorization of 43635

Prime Factorization of 43647

Now multiplying the highest exponent prime factors to calculate the LCM of 43635 and 43647.

LCM(43635,43647) = 3¹ × 5¹ × 2909¹ × 14549¹
LCM(43635,43647) = 634845615