What is the Least Common Multiple of 48141 and 48150?

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 48141 and 48150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48141 and 48150, than apply into the LCM equation.

GCF(48141,48150) = 9
LCM(48141,48150) = ( 48141 × 48150) / 9
LCM(48141,48150) = 2317989150 / 9
LCM(48141,48150) = 257554350

Least Common Multiple (LCM) of 48141 and 48150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48141 and 48150. First we will calculate the prime factors of 48141 and 48150.

Prime Factorization of 48141

Prime Factorization of 48150

Now multiplying the highest exponent prime factors to calculate the LCM of 48141 and 48150.

LCM(48141,48150) = 3³ × 1783¹ × 2¹ × 5² × 107¹
LCM(48141,48150) = 257554350