What is the Least Common Multiple of 48904 and 48922?

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 48904 and 48922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48904 and 48922, than apply into the LCM equation.

GCF(48904,48922) = 2
LCM(48904,48922) = ( 48904 × 48922) / 2
LCM(48904,48922) = 2392481488 / 2
LCM(48904,48922) = 1196240744

Least Common Multiple (LCM) of 48904 and 48922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48904 and 48922. First we will calculate the prime factors of 48904 and 48922.

Prime Factorization of 48904

Prime Factorization of 48922

Now multiplying the highest exponent prime factors to calculate the LCM of 48904 and 48922.

LCM(48904,48922) = 2³ × 6113¹ × 61¹ × 401¹
LCM(48904,48922) = 1196240744