What is the Least Common Multiple of 48450 and 48457?

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 48450 and 48457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48450 and 48457, than apply into the LCM equation.

GCF(48450,48457) = 1
LCM(48450,48457) = ( 48450 × 48457) / 1
LCM(48450,48457) = 2347741650 / 1
LCM(48450,48457) = 2347741650

Least Common Multiple (LCM) of 48450 and 48457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48450 and 48457. First we will calculate the prime factors of 48450 and 48457.

Prime Factorization of 48450

Prime Factorization of 48457

Now multiplying the highest exponent prime factors to calculate the LCM of 48450 and 48457.

LCM(48450,48457) = 2¹ × 3¹ × 5² × 17¹ × 19¹ × 47¹ × 1031¹
LCM(48450,48457) = 2347741650