What is the Least Common Multiple of 28788 and 28795?

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 28788 and 28795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28788 and 28795, than apply into the LCM equation.

GCF(28788,28795) = 1
LCM(28788,28795) = ( 28788 × 28795) / 1
LCM(28788,28795) = 828950460 / 1
LCM(28788,28795) = 828950460

Least Common Multiple (LCM) of 28788 and 28795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28788 and 28795. First we will calculate the prime factors of 28788 and 28795.

Prime Factorization of 28788

Prime Factorization of 28795

Now multiplying the highest exponent prime factors to calculate the LCM of 28788 and 28795.

LCM(28788,28795) = 2² × 3¹ × 2399¹ × 5¹ × 13¹ × 443¹
LCM(28788,28795) = 828950460