What is the Least Common Multiple of 18657 and 18666?

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 18657 and 18666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18657 and 18666, than apply into the LCM equation.

GCF(18657,18666) = 9
LCM(18657,18666) = ( 18657 × 18666) / 9
LCM(18657,18666) = 348251562 / 9
LCM(18657,18666) = 38694618

Least Common Multiple (LCM) of 18657 and 18666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18657 and 18666. First we will calculate the prime factors of 18657 and 18666.

Prime Factorization of 18657

Prime Factorization of 18666

Now multiplying the highest exponent prime factors to calculate the LCM of 18657 and 18666.

LCM(18657,18666) = 3³ × 691¹ × 2¹ × 17¹ × 61¹
LCM(18657,18666) = 38694618