What is the Least Common Multiple of 47459 and 47475?

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 47459 and 47475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47459 and 47475, than apply into the LCM equation.

GCF(47459,47475) = 1
LCM(47459,47475) = ( 47459 × 47475) / 1
LCM(47459,47475) = 2253116025 / 1
LCM(47459,47475) = 2253116025

Least Common Multiple (LCM) of 47459 and 47475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47459 and 47475. First we will calculate the prime factors of 47459 and 47475.

Prime Factorization of 47459

Prime Factorization of 47475

Now multiplying the highest exponent prime factors to calculate the LCM of 47459 and 47475.

LCM(47459,47475) = 47459¹ × 3² × 5² × 211¹
LCM(47459,47475) = 2253116025