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 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 Factorization of 54072

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