What is the Least Common Multiple of 47538 and 47544?

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 47538 and 47544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47538 and 47544, than apply into the LCM equation.

GCF(47538,47544) = 6
LCM(47538,47544) = ( 47538 × 47544) / 6
LCM(47538,47544) = 2260146672 / 6
LCM(47538,47544) = 376691112

Least Common Multiple (LCM) of 47538 and 47544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47538 and 47544. First we will calculate the prime factors of 47538 and 47544.

Prime Factorization of 47538

Prime Factorization of 47544

Now multiplying the highest exponent prime factors to calculate the LCM of 47538 and 47544.

LCM(47538,47544) = 2³ × 3² × 19¹ × 139¹ × 7¹ × 283¹
LCM(47538,47544) = 376691112