What is the Least Common Multiple of 54138 and 54150?

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 54138 and 54150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54138 and 54150, than apply into the LCM equation.

GCF(54138,54150) = 6
LCM(54138,54150) = ( 54138 × 54150) / 6
LCM(54138,54150) = 2931572700 / 6
LCM(54138,54150) = 488595450

Least Common Multiple (LCM) of 54138 and 54150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54138 and 54150. First we will calculate the prime factors of 54138 and 54150.

Prime Factorization of 54138

Prime Factorization of 54150

Now multiplying the highest exponent prime factors to calculate the LCM of 54138 and 54150.

LCM(54138,54150) = 2¹ × 3¹ × 7¹ × 1289¹ × 5² × 19²
LCM(54138,54150) = 488595450