What is the Least Common Multiple of 28695 and 28713?

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 28695 and 28713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28695 and 28713, than apply into the LCM equation.

GCF(28695,28713) = 3
LCM(28695,28713) = ( 28695 × 28713) / 3
LCM(28695,28713) = 823919535 / 3
LCM(28695,28713) = 274639845

Least Common Multiple (LCM) of 28695 and 28713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28695 and 28713. First we will calculate the prime factors of 28695 and 28713.

Prime Factorization of 28695

Prime Factorization of 28713

Now multiplying the highest exponent prime factors to calculate the LCM of 28695 and 28713.

LCM(28695,28713) = 3¹ × 5¹ × 1913¹ × 17¹ × 563¹
LCM(28695,28713) = 274639845