What is the Least Common Multiple of 48008 and 48025?

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 48008 and 48025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48008 and 48025, than apply into the LCM equation.

GCF(48008,48025) = 17
LCM(48008,48025) = ( 48008 × 48025) / 17
LCM(48008,48025) = 2305584200 / 17
LCM(48008,48025) = 135622600

Least Common Multiple (LCM) of 48008 and 48025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48008 and 48025. First we will calculate the prime factors of 48008 and 48025.

Prime Factorization of 48008

Prime Factorization of 48025

Now multiplying the highest exponent prime factors to calculate the LCM of 48008 and 48025.

LCM(48008,48025) = 2³ × 17¹ × 353¹ × 5² × 113¹
LCM(48008,48025) = 135622600