What is the Least Common Multiple of 66054 and 66072?

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 66054 and 66072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66054 and 66072, than apply into the LCM equation.

GCF(66054,66072) = 6
LCM(66054,66072) = ( 66054 × 66072) / 6
LCM(66054,66072) = 4364319888 / 6
LCM(66054,66072) = 727386648

Least Common Multiple (LCM) of 66054 and 66072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66054 and 66072. First we will calculate the prime factors of 66054 and 66072.

Prime Factorization of 66054

Prime Factorization of 66072

Now multiplying the highest exponent prime factors to calculate the LCM of 66054 and 66072.

LCM(66054,66072) = 2³ × 3¹ × 101¹ × 109¹ × 2753¹
LCM(66054,66072) = 727386648