What is the Least Common Multiple of 8478 and 8493?

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 8478 and 8493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8478 and 8493, than apply into the LCM equation.

GCF(8478,8493) = 3
LCM(8478,8493) = ( 8478 × 8493) / 3
LCM(8478,8493) = 72003654 / 3
LCM(8478,8493) = 24001218

Least Common Multiple (LCM) of 8478 and 8493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8478 and 8493. First we will calculate the prime factors of 8478 and 8493.

Prime Factorization of 8478

Prime Factorization of 8493

Now multiplying the highest exponent prime factors to calculate the LCM of 8478 and 8493.

LCM(8478,8493) = 2¹ × 3³ × 157¹ × 19¹ × 149¹
LCM(8478,8493) = 24001218