What is the Least Common Multiple of 47568 and 47574?

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 47568 and 47574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47568 and 47574, than apply into the LCM equation.

GCF(47568,47574) = 6
LCM(47568,47574) = ( 47568 × 47574) / 6
LCM(47568,47574) = 2263000032 / 6
LCM(47568,47574) = 377166672

Least Common Multiple (LCM) of 47568 and 47574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47568 and 47574. First we will calculate the prime factors of 47568 and 47574.

Prime Factorization of 47568

Prime Factorization of 47574

Now multiplying the highest exponent prime factors to calculate the LCM of 47568 and 47574.

LCM(47568,47574) = 2⁴ × 3³ × 991¹ × 881¹
LCM(47568,47574) = 377166672