What is the Least Common Multiple of 28545 and 28564?

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 28545 and 28564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28545 and 28564, than apply into the LCM equation.

GCF(28545,28564) = 1
LCM(28545,28564) = ( 28545 × 28564) / 1
LCM(28545,28564) = 815359380 / 1
LCM(28545,28564) = 815359380

Least Common Multiple (LCM) of 28545 and 28564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28545 and 28564. First we will calculate the prime factors of 28545 and 28564.

Prime Factorization of 28545

Prime Factorization of 28564

Now multiplying the highest exponent prime factors to calculate the LCM of 28545 and 28564.

LCM(28545,28564) = 3¹ × 5¹ × 11¹ × 173¹ × 2² × 37¹ × 193¹
LCM(28545,28564) = 815359380