What is the Least Common Multiple of 48123 and 48128?

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 48128 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 48128, than apply into the LCM equation.

GCF(48123,48128) = 1
LCM(48123,48128) = ( 48123 × 48128) / 1
LCM(48123,48128) = 2316063744 / 1
LCM(48123,48128) = 2316063744

Least Common Multiple (LCM) of 48123 and 48128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48123 and 48128. First we will calculate the prime factors of 48123 and 48128.

Prime Factorization of 48123

Prime Factorization of 48128

Now multiplying the highest exponent prime factors to calculate the LCM of 48123 and 48128.

LCM(48123,48128) = 3² × 5347¹ × 2¹⁰ × 47¹
LCM(48123,48128) = 2316063744