What is the Least Common Multiple of 13460 and 13475?

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 13460 and 13475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13460 and 13475, than apply into the LCM equation.

GCF(13460,13475) = 5
LCM(13460,13475) = ( 13460 × 13475) / 5
LCM(13460,13475) = 181373500 / 5
LCM(13460,13475) = 36274700

Least Common Multiple (LCM) of 13460 and 13475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13460 and 13475. First we will calculate the prime factors of 13460 and 13475.

Prime Factorization of 13460

Prime Factorization of 13475

Now multiplying the highest exponent prime factors to calculate the LCM of 13460 and 13475.

LCM(13460,13475) = 2² × 5² × 673¹ × 7² × 11¹
LCM(13460,13475) = 36274700