What is the Least Common Multiple of 48512 and 48521?

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 48512 and 48521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48512 and 48521, than apply into the LCM equation.

GCF(48512,48521) = 1
LCM(48512,48521) = ( 48512 × 48521) / 1
LCM(48512,48521) = 2353850752 / 1
LCM(48512,48521) = 2353850752

Least Common Multiple (LCM) of 48512 and 48521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48512 and 48521. First we will calculate the prime factors of 48512 and 48521.

Prime Factorization of 48512

Prime Factorization of 48521

Now multiplying the highest exponent prime factors to calculate the LCM of 48512 and 48521.

LCM(48512,48521) = 2⁷ × 379¹ × 11² × 401¹
LCM(48512,48521) = 2353850752