What is the Least Common Multiple of 47472 and 47489?

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 47472 and 47489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47472 and 47489, than apply into the LCM equation.

GCF(47472,47489) = 1
LCM(47472,47489) = ( 47472 × 47489) / 1
LCM(47472,47489) = 2254397808 / 1
LCM(47472,47489) = 2254397808

Least Common Multiple (LCM) of 47472 and 47489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47472 and 47489. First we will calculate the prime factors of 47472 and 47489.

Prime Factorization of 47472

Prime Factorization of 47489

Now multiplying the highest exponent prime factors to calculate the LCM of 47472 and 47489.

LCM(47472,47489) = 2⁴ × 3¹ × 23¹ × 43¹ × 13² × 281¹
LCM(47472,47489) = 2254397808