GCF and LCM Calculator Logo

What is the Least Common Multiple of 54060 and 54072?

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 (LCM) of 54060 and 54072 is 243594360.

LCM(54060,54072) = 243594360

LCM Calculator and
and

Least Common Multiple of 54060 and 54072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54060 and 54072, than apply into the LCM equation.

GCF(54060,54072) = 12
LCM(54060,54072) = ( 54060 × 54072) / 12
LCM(54060,54072) = 2923132320 / 12
LCM(54060,54072) = 243594360

Least Common Multiple (LCM) of 54060 and 54072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54060 and 54072. First we will calculate the prime factors of 54060 and 54072.

Prime Factorization of 54060

Prime factors of 54060 are 2, 3, 5, 17, 53. Prime factorization of 54060 in exponential form is:

54060 = 22 × 31 × 51 × 171 × 531

Prime Factorization of 54072

Prime factors of 54072 are 2, 3, 751. Prime factorization of 54072 in exponential form is:

54072 = 23 × 32 × 7511

Now multiplying the highest exponent prime factors to calculate the LCM of 54060 and 54072.

LCM(54060,54072) = 23 × 32 × 51 × 171 × 531 × 7511
LCM(54060,54072) = 243594360