What is the Least Common Multiple of 13632 and 13647?

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 13632 and 13647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13632 and 13647, than apply into the LCM equation.

GCF(13632,13647) = 3
LCM(13632,13647) = ( 13632 × 13647) / 3
LCM(13632,13647) = 186035904 / 3
LCM(13632,13647) = 62011968

Least Common Multiple (LCM) of 13632 and 13647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13632 and 13647. First we will calculate the prime factors of 13632 and 13647.

Prime Factorization of 13632

Prime Factorization of 13647

Now multiplying the highest exponent prime factors to calculate the LCM of 13632 and 13647.

LCM(13632,13647) = 2⁶ × 3¹ × 71¹ × 4549¹
LCM(13632,13647) = 62011968