What is the Least Common Multiple of 47584 and 47604?

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 47584 and 47604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47584 and 47604, than apply into the LCM equation.

GCF(47584,47604) = 4
LCM(47584,47604) = ( 47584 × 47604) / 4
LCM(47584,47604) = 2265188736 / 4
LCM(47584,47604) = 566297184

Least Common Multiple (LCM) of 47584 and 47604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47584 and 47604. First we will calculate the prime factors of 47584 and 47604.

Prime Factorization of 47584

Prime Factorization of 47604

Now multiplying the highest exponent prime factors to calculate the LCM of 47584 and 47604.

LCM(47584,47604) = 2⁵ × 1487¹ × 3¹ × 3967¹
LCM(47584,47604) = 566297184