What is the Least Common Multiple of 48128 and 48147?

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 48128 and 48147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48128 and 48147, than apply into the LCM equation.

GCF(48128,48147) = 1
LCM(48128,48147) = ( 48128 × 48147) / 1
LCM(48128,48147) = 2317218816 / 1
LCM(48128,48147) = 2317218816

Least Common Multiple (LCM) of 48128 and 48147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48128 and 48147. First we will calculate the prime factors of 48128 and 48147.

Prime Factorization of 48128

Prime Factorization of 48147

Now multiplying the highest exponent prime factors to calculate the LCM of 48128 and 48147.

LCM(48128,48147) = 2¹⁰ × 47¹ × 3¹ × 11¹ × 1459¹
LCM(48128,48147) = 2317218816