What is the Least Common Multiple of 48008 and 48023?

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 48023 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 48023, than apply into the LCM equation.

GCF(48008,48023) = 1
LCM(48008,48023) = ( 48008 × 48023) / 1
LCM(48008,48023) = 2305488184 / 1
LCM(48008,48023) = 2305488184

Least Common Multiple (LCM) of 48008 and 48023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48008 and 48023. First we will calculate the prime factors of 48008 and 48023.

Prime Factorization of 48008

Prime Factorization of 48023

Now multiplying the highest exponent prime factors to calculate the LCM of 48008 and 48023.

LCM(48008,48023) = 2³ × 17¹ × 353¹ × 48023¹
LCM(48008,48023) = 2305488184