What is the Least Common Multiple of 13390 and 13404?

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 13390 and 13404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13390 and 13404, than apply into the LCM equation.

GCF(13390,13404) = 2
LCM(13390,13404) = ( 13390 × 13404) / 2
LCM(13390,13404) = 179479560 / 2
LCM(13390,13404) = 89739780

Least Common Multiple (LCM) of 13390 and 13404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13390 and 13404. First we will calculate the prime factors of 13390 and 13404.

Prime Factorization of 13390

Prime Factorization of 13404

Now multiplying the highest exponent prime factors to calculate the LCM of 13390 and 13404.

LCM(13390,13404) = 2² × 5¹ × 13¹ × 103¹ × 3¹ × 1117¹
LCM(13390,13404) = 89739780