What is the Least Common Multiple of 47574 and 47584?

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 47574 and 47584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47574 and 47584, than apply into the LCM equation.

GCF(47574,47584) = 2
LCM(47574,47584) = ( 47574 × 47584) / 2
LCM(47574,47584) = 2263761216 / 2
LCM(47574,47584) = 1131880608

Least Common Multiple (LCM) of 47574 and 47584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47574 and 47584. First we will calculate the prime factors of 47574 and 47584.

Prime Factorization of 47574

Prime Factorization of 47584

Now multiplying the highest exponent prime factors to calculate the LCM of 47574 and 47584.

LCM(47574,47584) = 2⁵ × 3³ × 881¹ × 1487¹
LCM(47574,47584) = 1131880608