What is the Least Common Multiple of 14340 and 14360?

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 14360 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 14360, than apply into the LCM equation.

GCF(14340,14360) = 20
LCM(14340,14360) = ( 14340 × 14360) / 20
LCM(14340,14360) = 205922400 / 20
LCM(14340,14360) = 10296120

Least Common Multiple (LCM) of 14340 and 14360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14340 and 14360. First we will calculate the prime factors of 14340 and 14360.

Prime Factorization of 14340

Prime Factorization of 14360

Now multiplying the highest exponent prime factors to calculate the LCM of 14340 and 14360.

LCM(14340,14360) = 2³ × 3¹ × 5¹ × 239¹ × 359¹
LCM(14340,14360) = 10296120