What is the Least Common Multiple of 14340 and 14355?

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 14340 and 14355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14340 and 14355, than apply into the LCM equation.

GCF(14340,14355) = 15
LCM(14340,14355) = ( 14340 × 14355) / 15
LCM(14340,14355) = 205850700 / 15
LCM(14340,14355) = 13723380

Least Common Multiple (LCM) of 14340 and 14355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14340 and 14355. First we will calculate the prime factors of 14340 and 14355.

Prime Factorization of 14340

Prime Factorization of 14355

Now multiplying the highest exponent prime factors to calculate the LCM of 14340 and 14355.

LCM(14340,14355) = 2² × 3² × 5¹ × 239¹ × 11¹ × 29¹
LCM(14340,14355) = 13723380