What is the Least Common Multiple of 48748 and 48752?

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 48748 and 48752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48748 and 48752, than apply into the LCM equation.

GCF(48748,48752) = 4
LCM(48748,48752) = ( 48748 × 48752) / 4
LCM(48748,48752) = 2376562496 / 4
LCM(48748,48752) = 594140624

Least Common Multiple (LCM) of 48748 and 48752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48748 and 48752. First we will calculate the prime factors of 48748 and 48752.

Prime Factorization of 48748

Prime Factorization of 48752

Now multiplying the highest exponent prime factors to calculate the LCM of 48748 and 48752.

LCM(48748,48752) = 2⁴ × 7¹ × 1741¹ × 11¹ × 277¹
LCM(48748,48752) = 594140624