What is the Least Common Multiple of 18648 and 18660?

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 18660 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 18660, than apply into the LCM equation.

GCF(18648,18660) = 12
LCM(18648,18660) = ( 18648 × 18660) / 12
LCM(18648,18660) = 347971680 / 12
LCM(18648,18660) = 28997640

Least Common Multiple (LCM) of 18648 and 18660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18648 and 18660. First we will calculate the prime factors of 18648 and 18660.

Prime Factorization of 18648

Prime Factorization of 18660

Now multiplying the highest exponent prime factors to calculate the LCM of 18648 and 18660.

LCM(18648,18660) = 2³ × 3² × 7¹ × 37¹ × 5¹ × 311¹
LCM(18648,18660) = 28997640