What is the Least Common Multiple of 36648 and 36666?

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 36648 and 36666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36648 and 36666, than apply into the LCM equation.

GCF(36648,36666) = 18
LCM(36648,36666) = ( 36648 × 36666) / 18
LCM(36648,36666) = 1343735568 / 18
LCM(36648,36666) = 74651976

Least Common Multiple (LCM) of 36648 and 36666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36648 and 36666. First we will calculate the prime factors of 36648 and 36666.

Prime Factorization of 36648

Prime Factorization of 36666

Now multiplying the highest exponent prime factors to calculate the LCM of 36648 and 36666.

LCM(36648,36666) = 2³ × 3³ × 509¹ × 7¹ × 97¹
LCM(36648,36666) = 74651976