What is the Least Common Multiple of 14355 and 14370?

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 14355 and 14370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14355 and 14370, than apply into the LCM equation.

GCF(14355,14370) = 15
LCM(14355,14370) = ( 14355 × 14370) / 15
LCM(14355,14370) = 206281350 / 15
LCM(14355,14370) = 13752090

Least Common Multiple (LCM) of 14355 and 14370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14355 and 14370. First we will calculate the prime factors of 14355 and 14370.

Prime Factorization of 14355

Prime Factorization of 14370

Now multiplying the highest exponent prime factors to calculate the LCM of 14355 and 14370.

LCM(14355,14370) = 3² × 5¹ × 11¹ × 29¹ × 2¹ × 479¹
LCM(14355,14370) = 13752090