What is the Least Common Multiple of 15054 and 15060?

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 15054 and 15060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15054 and 15060, than apply into the LCM equation.

GCF(15054,15060) = 6
LCM(15054,15060) = ( 15054 × 15060) / 6
LCM(15054,15060) = 226713240 / 6
LCM(15054,15060) = 37785540

Least Common Multiple (LCM) of 15054 and 15060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15054 and 15060. First we will calculate the prime factors of 15054 and 15060.

Prime Factorization of 15054

Prime Factorization of 15060

Now multiplying the highest exponent prime factors to calculate the LCM of 15054 and 15060.

LCM(15054,15060) = 2² × 3¹ × 13¹ × 193¹ × 5¹ × 251¹
LCM(15054,15060) = 37785540