What is the Least Common Multiple of 14360 and 14365?

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 14365 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 14365, than apply into the LCM equation.

GCF(14360,14365) = 5
LCM(14360,14365) = ( 14360 × 14365) / 5
LCM(14360,14365) = 206281400 / 5
LCM(14360,14365) = 41256280

Least Common Multiple (LCM) of 14360 and 14365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14360 and 14365. First we will calculate the prime factors of 14360 and 14365.

Prime Factorization of 14360

Prime Factorization of 14365

Now multiplying the highest exponent prime factors to calculate the LCM of 14360 and 14365.

LCM(14360,14365) = 2³ × 5¹ × 359¹ × 13² × 17¹
LCM(14360,14365) = 41256280