What is the Least Common Multiple of 47486 and 47493?

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 47486 and 47493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47486 and 47493, than apply into the LCM equation.

GCF(47486,47493) = 1
LCM(47486,47493) = ( 47486 × 47493) / 1
LCM(47486,47493) = 2255252598 / 1
LCM(47486,47493) = 2255252598

Least Common Multiple (LCM) of 47486 and 47493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47486 and 47493. First we will calculate the prime factors of 47486 and 47493.

Prime Factorization of 47486

Prime Factorization of 47493

Now multiplying the highest exponent prime factors to calculate the LCM of 47486 and 47493.

LCM(47486,47493) = 2¹ × 23743¹ × 3³ × 1759¹
LCM(47486,47493) = 2255252598