What is the Least Common Multiple of 48338 and 48352?

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 48338 and 48352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48338 and 48352, than apply into the LCM equation.

GCF(48338,48352) = 2
LCM(48338,48352) = ( 48338 × 48352) / 2
LCM(48338,48352) = 2337238976 / 2
LCM(48338,48352) = 1168619488

Least Common Multiple (LCM) of 48338 and 48352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48338 and 48352. First we will calculate the prime factors of 48338 and 48352.

Prime Factorization of 48338

Prime Factorization of 48352

Now multiplying the highest exponent prime factors to calculate the LCM of 48338 and 48352.

LCM(48338,48352) = 2⁵ × 24169¹ × 1511¹
LCM(48338,48352) = 1168619488