What is the Least Common Multiple of 54150 and 54168?

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 54150 and 54168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54150 and 54168, than apply into the LCM equation.

GCF(54150,54168) = 6
LCM(54150,54168) = ( 54150 × 54168) / 6
LCM(54150,54168) = 2933197200 / 6
LCM(54150,54168) = 488866200

Least Common Multiple (LCM) of 54150 and 54168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54150 and 54168. First we will calculate the prime factors of 54150 and 54168.

Prime Factorization of 54150

Prime Factorization of 54168

Now multiplying the highest exponent prime factors to calculate the LCM of 54150 and 54168.

LCM(54150,54168) = 2³ × 3¹ × 5² × 19² × 37¹ × 61¹
LCM(54150,54168) = 488866200