What is the Least Common Multiple of 18460 and 18475?

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 18460 and 18475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18460 and 18475, than apply into the LCM equation.

GCF(18460,18475) = 5
LCM(18460,18475) = ( 18460 × 18475) / 5
LCM(18460,18475) = 341048500 / 5
LCM(18460,18475) = 68209700

Least Common Multiple (LCM) of 18460 and 18475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18460 and 18475. First we will calculate the prime factors of 18460 and 18475.

Prime Factorization of 18460

Prime Factorization of 18475

Now multiplying the highest exponent prime factors to calculate the LCM of 18460 and 18475.

LCM(18460,18475) = 2² × 5² × 13¹ × 71¹ × 739¹
LCM(18460,18475) = 68209700