What is the Least Common Multiple of 54150 and 54169?

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 54169 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 54169, than apply into the LCM equation.

GCF(54150,54169) = 19
LCM(54150,54169) = ( 54150 × 54169) / 19
LCM(54150,54169) = 2933251350 / 19
LCM(54150,54169) = 154381650

Least Common Multiple (LCM) of 54150 and 54169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54150 and 54169. First we will calculate the prime factors of 54150 and 54169.

Prime Factorization of 54150

Prime Factorization of 54169

Now multiplying the highest exponent prime factors to calculate the LCM of 54150 and 54169.

LCM(54150,54169) = 2¹ × 3¹ × 5² × 19² × 2851¹
LCM(54150,54169) = 154381650