What is the Least Common Multiple of 48250 and 48260?

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 48260 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 48260, than apply into the LCM equation.

GCF(48250,48260) = 10
LCM(48250,48260) = ( 48250 × 48260) / 10
LCM(48250,48260) = 2328545000 / 10
LCM(48250,48260) = 232854500

Least Common Multiple (LCM) of 48250 and 48260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48250 and 48260. First we will calculate the prime factors of 48250 and 48260.

Prime Factorization of 48250

Prime Factorization of 48260

Now multiplying the highest exponent prime factors to calculate the LCM of 48250 and 48260.

LCM(48250,48260) = 2² × 5³ × 193¹ × 19¹ × 127¹
LCM(48250,48260) = 232854500