What is the Least Common Multiple of 28178 and 28195?

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 28178 and 28195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28178 and 28195, than apply into the LCM equation.

GCF(28178,28195) = 1
LCM(28178,28195) = ( 28178 × 28195) / 1
LCM(28178,28195) = 794478710 / 1
LCM(28178,28195) = 794478710

Least Common Multiple (LCM) of 28178 and 28195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28178 and 28195. First we will calculate the prime factors of 28178 and 28195.

Prime Factorization of 28178

Prime Factorization of 28195

Now multiplying the highest exponent prime factors to calculate the LCM of 28178 and 28195.

LCM(28178,28195) = 2¹ × 73¹ × 193¹ × 5¹ × 5639¹
LCM(28178,28195) = 794478710