What is the Least Common Multiple of 48120 and 48125?

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 48120 and 48125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48120 and 48125, than apply into the LCM equation.

GCF(48120,48125) = 5
LCM(48120,48125) = ( 48120 × 48125) / 5
LCM(48120,48125) = 2315775000 / 5
LCM(48120,48125) = 463155000

Least Common Multiple (LCM) of 48120 and 48125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48120 and 48125. First we will calculate the prime factors of 48120 and 48125.

Prime Factorization of 48120

Prime Factorization of 48125

Now multiplying the highest exponent prime factors to calculate the LCM of 48120 and 48125.

LCM(48120,48125) = 2³ × 3¹ × 5⁴ × 401¹ × 7¹ × 11¹
LCM(48120,48125) = 463155000