What is the Least Common Multiple of 55632 and 55647?

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 55632 and 55647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55632 and 55647, than apply into the LCM equation.

GCF(55632,55647) = 3
LCM(55632,55647) = ( 55632 × 55647) / 3
LCM(55632,55647) = 3095753904 / 3
LCM(55632,55647) = 1031917968

Least Common Multiple (LCM) of 55632 and 55647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55632 and 55647. First we will calculate the prime factors of 55632 and 55647.

Prime Factorization of 55632

Prime Factorization of 55647

Now multiplying the highest exponent prime factors to calculate the LCM of 55632 and 55647.

LCM(55632,55647) = 2⁴ × 3⁵ × 19¹ × 61¹ × 229¹
LCM(55632,55647) = 1031917968