What is the Least Common Multiple of 48108 and 48120?

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 48108 and 48120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48108 and 48120, than apply into the LCM equation.

GCF(48108,48120) = 12
LCM(48108,48120) = ( 48108 × 48120) / 12
LCM(48108,48120) = 2314956960 / 12
LCM(48108,48120) = 192913080

Least Common Multiple (LCM) of 48108 and 48120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48108 and 48120. First we will calculate the prime factors of 48108 and 48120.

Prime Factorization of 48108

Prime Factorization of 48120

Now multiplying the highest exponent prime factors to calculate the LCM of 48108 and 48120.

LCM(48108,48120) = 2³ × 3¹ × 19¹ × 211¹ × 5¹ × 401¹
LCM(48108,48120) = 192913080