What is the Least Common Multiple of 28509 and 28524?

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 28509 and 28524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28509 and 28524, than apply into the LCM equation.

GCF(28509,28524) = 3
LCM(28509,28524) = ( 28509 × 28524) / 3
LCM(28509,28524) = 813190716 / 3
LCM(28509,28524) = 271063572

Least Common Multiple (LCM) of 28509 and 28524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28509 and 28524. First we will calculate the prime factors of 28509 and 28524.

Prime Factorization of 28509

Prime Factorization of 28524

Now multiplying the highest exponent prime factors to calculate the LCM of 28509 and 28524.

LCM(28509,28524) = 3¹ × 13¹ × 17¹ × 43¹ × 2² × 2377¹
LCM(28509,28524) = 271063572