What is the Least Common Multiple of 28578 and 28590?

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 28578 and 28590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28578 and 28590, than apply into the LCM equation.

GCF(28578,28590) = 6
LCM(28578,28590) = ( 28578 × 28590) / 6
LCM(28578,28590) = 817045020 / 6
LCM(28578,28590) = 136174170

Least Common Multiple (LCM) of 28578 and 28590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28578 and 28590. First we will calculate the prime factors of 28578 and 28590.

Prime Factorization of 28578

Prime Factorization of 28590

Now multiplying the highest exponent prime factors to calculate the LCM of 28578 and 28590.

LCM(28578,28590) = 2¹ × 3¹ × 11¹ × 433¹ × 5¹ × 953¹
LCM(28578,28590) = 136174170