What is the Least Common Multiple of 28075 and 28082?

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 28075 and 28082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28075 and 28082, than apply into the LCM equation.

GCF(28075,28082) = 1
LCM(28075,28082) = ( 28075 × 28082) / 1
LCM(28075,28082) = 788402150 / 1
LCM(28075,28082) = 788402150

Least Common Multiple (LCM) of 28075 and 28082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28075 and 28082. First we will calculate the prime factors of 28075 and 28082.

Prime Factorization of 28075

Prime Factorization of 28082

Now multiplying the highest exponent prime factors to calculate the LCM of 28075 and 28082.

LCM(28075,28082) = 5² × 1123¹ × 2¹ × 19¹ × 739¹
LCM(28075,28082) = 788402150