What is the Least Common Multiple of 28644 and 28652?

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 28644 and 28652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28644 and 28652, than apply into the LCM equation.

GCF(28644,28652) = 4
LCM(28644,28652) = ( 28644 × 28652) / 4
LCM(28644,28652) = 820707888 / 4
LCM(28644,28652) = 205176972

Least Common Multiple (LCM) of 28644 and 28652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28644 and 28652. First we will calculate the prime factors of 28644 and 28652.

Prime Factorization of 28644

Prime Factorization of 28652

Now multiplying the highest exponent prime factors to calculate the LCM of 28644 and 28652.

LCM(28644,28652) = 2² × 3¹ × 7¹ × 11¹ × 31¹ × 13¹ × 19¹ × 29¹
LCM(28644,28652) = 205176972