What is the Least Common Multiple of 14378 and 14390?

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 14378 and 14390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14378 and 14390, than apply into the LCM equation.

GCF(14378,14390) = 2
LCM(14378,14390) = ( 14378 × 14390) / 2
LCM(14378,14390) = 206899420 / 2
LCM(14378,14390) = 103449710

Least Common Multiple (LCM) of 14378 and 14390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14378 and 14390. First we will calculate the prime factors of 14378 and 14390.

Prime Factorization of 14378

Prime Factorization of 14390

Now multiplying the highest exponent prime factors to calculate the LCM of 14378 and 14390.

LCM(14378,14390) = 2¹ × 7¹ × 13¹ × 79¹ × 5¹ × 1439¹
LCM(14378,14390) = 103449710