What is the Least Common Multiple of 28536 and 28544?

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 28536 and 28544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28536 and 28544, than apply into the LCM equation.

GCF(28536,28544) = 8
LCM(28536,28544) = ( 28536 × 28544) / 8
LCM(28536,28544) = 814531584 / 8
LCM(28536,28544) = 101816448

Least Common Multiple (LCM) of 28536 and 28544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28536 and 28544. First we will calculate the prime factors of 28536 and 28544.

Prime Factorization of 28536

Prime Factorization of 28544

Now multiplying the highest exponent prime factors to calculate the LCM of 28536 and 28544.

LCM(28536,28544) = 2⁷ × 3¹ × 29¹ × 41¹ × 223¹
LCM(28536,28544) = 101816448