What is the Least Common Multiple of 47338 and 47344?

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 47338 and 47344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47338 and 47344, than apply into the LCM equation.

GCF(47338,47344) = 2
LCM(47338,47344) = ( 47338 × 47344) / 2
LCM(47338,47344) = 2241170272 / 2
LCM(47338,47344) = 1120585136

Least Common Multiple (LCM) of 47338 and 47344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47338 and 47344. First we will calculate the prime factors of 47338 and 47344.

Prime Factorization of 47338

Prime Factorization of 47344

Now multiplying the highest exponent prime factors to calculate the LCM of 47338 and 47344.

LCM(47338,47344) = 2⁴ × 23669¹ × 11¹ × 269¹
LCM(47338,47344) = 1120585136