What is the Least Common Multiple of 47589 and 47595?

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 47589 and 47595 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47589 and 47595, than apply into the LCM equation.

GCF(47589,47595) = 3
LCM(47589,47595) = ( 47589 × 47595) / 3
LCM(47589,47595) = 2264998455 / 3
LCM(47589,47595) = 754999485

Least Common Multiple (LCM) of 47589 and 47595 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47589 and 47595. First we will calculate the prime factors of 47589 and 47595.

Prime Factorization of 47589

Prime Factorization of 47595

Now multiplying the highest exponent prime factors to calculate the LCM of 47589 and 47595.

LCM(47589,47595) = 3¹ × 29¹ × 547¹ × 5¹ × 19¹ × 167¹
LCM(47589,47595) = 754999485