What is the Least Common Multiple of 48250 and 48266?

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 48250 and 48266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48250 and 48266, than apply into the LCM equation.

GCF(48250,48266) = 2
LCM(48250,48266) = ( 48250 × 48266) / 2
LCM(48250,48266) = 2328834500 / 2
LCM(48250,48266) = 1164417250

Least Common Multiple (LCM) of 48250 and 48266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48250 and 48266. First we will calculate the prime factors of 48250 and 48266.

Prime Factorization of 48250

Prime Factorization of 48266

Now multiplying the highest exponent prime factors to calculate the LCM of 48250 and 48266.

LCM(48250,48266) = 2¹ × 5³ × 193¹ × 24133¹
LCM(48250,48266) = 1164417250