What is the Least Common Multiple of 54648 and 54666?

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 54648 and 54666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54648 and 54666, than apply into the LCM equation.

GCF(54648,54666) = 18
LCM(54648,54666) = ( 54648 × 54666) / 18
LCM(54648,54666) = 2987387568 / 18
LCM(54648,54666) = 165965976

Least Common Multiple (LCM) of 54648 and 54666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54648 and 54666. First we will calculate the prime factors of 54648 and 54666.

Prime Factorization of 54648

Prime Factorization of 54666

Now multiplying the highest exponent prime factors to calculate the LCM of 54648 and 54666.

LCM(54648,54666) = 2³ × 3³ × 11¹ × 23¹ × 3037¹
LCM(54648,54666) = 165965976