What is the Least Common Multiple of 28095 and 28113?

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 28095 and 28113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28095 and 28113, than apply into the LCM equation.

GCF(28095,28113) = 3
LCM(28095,28113) = ( 28095 × 28113) / 3
LCM(28095,28113) = 789834735 / 3
LCM(28095,28113) = 263278245

Least Common Multiple (LCM) of 28095 and 28113 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28095 and 28113. First we will calculate the prime factors of 28095 and 28113.

Prime Factorization of 28095

Prime Factorization of 28113

Now multiplying the highest exponent prime factors to calculate the LCM of 28095 and 28113.

LCM(28095,28113) = 3¹ × 5¹ × 1873¹ × 9371¹
LCM(28095,28113) = 263278245