What is the Least Common Multiple of 48124 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 48124 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 48124 and 48128, than apply into the LCM equation.

GCF(48124,48128) = 4
LCM(48124,48128) = ( 48124 × 48128) / 4
LCM(48124,48128) = 2316111872 / 4
LCM(48124,48128) = 579027968

Least Common Multiple (LCM) of 48124 and 48128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48124 and 48128. First we will calculate the prime factors of 48124 and 48128.

Prime Factorization of 48124

Prime Factorization of 48128

Now multiplying the highest exponent prime factors to calculate the LCM of 48124 and 48128.

LCM(48124,48128) = 2¹⁰ × 53¹ × 227¹ × 47¹
LCM(48124,48128) = 579027968