What is the Least Common Multiple of 54054 and 54060?

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 54054 and 54060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54054 and 54060, than apply into the LCM equation.

GCF(54054,54060) = 6
LCM(54054,54060) = ( 54054 × 54060) / 6
LCM(54054,54060) = 2922159240 / 6
LCM(54054,54060) = 487026540

Least Common Multiple (LCM) of 54054 and 54060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54054 and 54060. First we will calculate the prime factors of 54054 and 54060.

Prime Factorization of 54054

Prime Factorization of 54060

Now multiplying the highest exponent prime factors to calculate the LCM of 54054 and 54060.

LCM(54054,54060) = 2² × 3³ × 7¹ × 11¹ × 13¹ × 5¹ × 17¹ × 53¹
LCM(54054,54060) = 487026540