What is the Least Common Multiple of 47204 and 47224?

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 47204 and 47224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47204 and 47224, than apply into the LCM equation.

GCF(47204,47224) = 4
LCM(47204,47224) = ( 47204 × 47224) / 4
LCM(47204,47224) = 2229161696 / 4
LCM(47204,47224) = 557290424

Least Common Multiple (LCM) of 47204 and 47224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47204 and 47224. First we will calculate the prime factors of 47204 and 47224.

Prime Factorization of 47204

Prime Factorization of 47224

Now multiplying the highest exponent prime factors to calculate the LCM of 47204 and 47224.

LCM(47204,47224) = 2³ × 11801¹ × 5903¹
LCM(47204,47224) = 557290424