What is the Least Common Multiple of 18648 and 18663?

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 18648 and 18663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18648 and 18663, than apply into the LCM equation.

GCF(18648,18663) = 3
LCM(18648,18663) = ( 18648 × 18663) / 3
LCM(18648,18663) = 348027624 / 3
LCM(18648,18663) = 116009208

Least Common Multiple (LCM) of 18648 and 18663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18648 and 18663. First we will calculate the prime factors of 18648 and 18663.

Prime Factorization of 18648

Prime Factorization of 18663

Now multiplying the highest exponent prime factors to calculate the LCM of 18648 and 18663.

LCM(18648,18663) = 2³ × 3² × 7¹ × 37¹ × 6221¹
LCM(18648,18663) = 116009208