What is the Least Common Multiple of 28652 and 28665?

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 28652 and 28665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28652 and 28665, than apply into the LCM equation.

GCF(28652,28665) = 13
LCM(28652,28665) = ( 28652 × 28665) / 13
LCM(28652,28665) = 821309580 / 13
LCM(28652,28665) = 63177660

Least Common Multiple (LCM) of 28652 and 28665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28652 and 28665. First we will calculate the prime factors of 28652 and 28665.

Prime Factorization of 28652

Prime Factorization of 28665

Now multiplying the highest exponent prime factors to calculate the LCM of 28652 and 28665.

LCM(28652,28665) = 2² × 13¹ × 19¹ × 29¹ × 3² × 5¹ × 7²
LCM(28652,28665) = 63177660