What is the Least Common Multiple of 28560 and 28578?

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 28560 and 28578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28560 and 28578, than apply into the LCM equation.

GCF(28560,28578) = 6
LCM(28560,28578) = ( 28560 × 28578) / 6
LCM(28560,28578) = 816187680 / 6
LCM(28560,28578) = 136031280

Least Common Multiple (LCM) of 28560 and 28578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28560 and 28578. First we will calculate the prime factors of 28560 and 28578.

Prime Factorization of 28560

Prime Factorization of 28578

Now multiplying the highest exponent prime factors to calculate the LCM of 28560 and 28578.

LCM(28560,28578) = 2⁴ × 3¹ × 5¹ × 7¹ × 17¹ × 11¹ × 433¹
LCM(28560,28578) = 136031280