What is the Least Common Multiple of 48123 and 48136?

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 48123 and 48136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48123 and 48136, than apply into the LCM equation.

GCF(48123,48136) = 1
LCM(48123,48136) = ( 48123 × 48136) / 1
LCM(48123,48136) = 2316448728 / 1
LCM(48123,48136) = 2316448728

Least Common Multiple (LCM) of 48123 and 48136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48123 and 48136. First we will calculate the prime factors of 48123 and 48136.

Prime Factorization of 48123

Prime Factorization of 48136

Now multiplying the highest exponent prime factors to calculate the LCM of 48123 and 48136.

LCM(48123,48136) = 3² × 5347¹ × 2³ × 11¹ × 547¹
LCM(48123,48136) = 2316448728