What is the Least Common Multiple of 48928 and 48946?

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 48928 and 48946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48928 and 48946, than apply into the LCM equation.

GCF(48928,48946) = 2
LCM(48928,48946) = ( 48928 × 48946) / 2
LCM(48928,48946) = 2394829888 / 2
LCM(48928,48946) = 1197414944

Least Common Multiple (LCM) of 48928 and 48946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48928 and 48946. First we will calculate the prime factors of 48928 and 48946.

Prime Factorization of 48928

Prime Factorization of 48946

Now multiplying the highest exponent prime factors to calculate the LCM of 48928 and 48946.

LCM(48928,48946) = 2⁵ × 11¹ × 139¹ × 24473¹
LCM(48928,48946) = 1197414944