What is the Least Common Multiple of 14360 and 14378?

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 14360 and 14378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14360 and 14378, than apply into the LCM equation.

GCF(14360,14378) = 2
LCM(14360,14378) = ( 14360 × 14378) / 2
LCM(14360,14378) = 206468080 / 2
LCM(14360,14378) = 103234040

Least Common Multiple (LCM) of 14360 and 14378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14360 and 14378. First we will calculate the prime factors of 14360 and 14378.

Prime Factorization of 14360

Prime Factorization of 14378

Now multiplying the highest exponent prime factors to calculate the LCM of 14360 and 14378.

LCM(14360,14378) = 2³ × 5¹ × 359¹ × 7¹ × 13¹ × 79¹
LCM(14360,14378) = 103234040