What is the Least Common Multiple of 28604 and 28615?

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 28604 and 28615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28604 and 28615, than apply into the LCM equation.

GCF(28604,28615) = 1
LCM(28604,28615) = ( 28604 × 28615) / 1
LCM(28604,28615) = 818503460 / 1
LCM(28604,28615) = 818503460

Least Common Multiple (LCM) of 28604 and 28615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28604 and 28615. First we will calculate the prime factors of 28604 and 28615.

Prime Factorization of 28604

Prime Factorization of 28615

Now multiplying the highest exponent prime factors to calculate the LCM of 28604 and 28615.

LCM(28604,28615) = 2² × 7151¹ × 5¹ × 59¹ × 97¹
LCM(28604,28615) = 818503460