What is the Least Common Multiple of 67359 and 67365?

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 67359 and 67365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67359 and 67365, than apply into the LCM equation.

GCF(67359,67365) = 3
LCM(67359,67365) = ( 67359 × 67365) / 3
LCM(67359,67365) = 4537639035 / 3
LCM(67359,67365) = 1512546345

Least Common Multiple (LCM) of 67359 and 67365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67359 and 67365. First we will calculate the prime factors of 67359 and 67365.

Prime Factorization of 67359

Prime Factorization of 67365

Now multiplying the highest exponent prime factors to calculate the LCM of 67359 and 67365.

LCM(67359,67365) = 3³ × 22453¹ × 5¹ × 499¹
LCM(67359,67365) = 1512546345