What is the Least Common Multiple of 28920 and 28935?

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 28920 and 28935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28920 and 28935, than apply into the LCM equation.

GCF(28920,28935) = 15
LCM(28920,28935) = ( 28920 × 28935) / 15
LCM(28920,28935) = 836800200 / 15
LCM(28920,28935) = 55786680

Least Common Multiple (LCM) of 28920 and 28935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28920 and 28935. First we will calculate the prime factors of 28920 and 28935.

Prime Factorization of 28920

Prime Factorization of 28935

Now multiplying the highest exponent prime factors to calculate the LCM of 28920 and 28935.

LCM(28920,28935) = 2³ × 3² × 5¹ × 241¹ × 643¹
LCM(28920,28935) = 55786680