What is the Least Common Multiple of 47344 and 47358?

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 47344 and 47358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47344 and 47358, than apply into the LCM equation.

GCF(47344,47358) = 2
LCM(47344,47358) = ( 47344 × 47358) / 2
LCM(47344,47358) = 2242117152 / 2
LCM(47344,47358) = 1121058576

Least Common Multiple (LCM) of 47344 and 47358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47344 and 47358. First we will calculate the prime factors of 47344 and 47358.

Prime Factorization of 47344

Prime Factorization of 47358

Now multiplying the highest exponent prime factors to calculate the LCM of 47344 and 47358.

LCM(47344,47358) = 2⁴ × 11¹ × 269¹ × 3³ × 877¹
LCM(47344,47358) = 1121058576