What is the Least Common Multiple of 28080 and 28095?

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 28080 and 28095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28080 and 28095, than apply into the LCM equation.

GCF(28080,28095) = 15
LCM(28080,28095) = ( 28080 × 28095) / 15
LCM(28080,28095) = 788907600 / 15
LCM(28080,28095) = 52593840

Least Common Multiple (LCM) of 28080 and 28095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28080 and 28095. First we will calculate the prime factors of 28080 and 28095.

Prime Factorization of 28080

Prime Factorization of 28095

Now multiplying the highest exponent prime factors to calculate the LCM of 28080 and 28095.

LCM(28080,28095) = 2⁴ × 3³ × 5¹ × 13¹ × 1873¹
LCM(28080,28095) = 52593840