What is the Least Common Multiple of 28578 and 28585?

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 28585 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 28585, than apply into the LCM equation.

GCF(28578,28585) = 1
LCM(28578,28585) = ( 28578 × 28585) / 1
LCM(28578,28585) = 816902130 / 1
LCM(28578,28585) = 816902130

Least Common Multiple (LCM) of 28578 and 28585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28578 and 28585. First we will calculate the prime factors of 28578 and 28585.

Prime Factorization of 28578

Prime Factorization of 28585

Now multiplying the highest exponent prime factors to calculate the LCM of 28578 and 28585.

LCM(28578,28585) = 2¹ × 3¹ × 11¹ × 433¹ × 5¹ × 5717¹
LCM(28578,28585) = 816902130