What is the Least Common Multiple of 57566 and 57585?

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 57566 and 57585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57566 and 57585, than apply into the LCM equation.

GCF(57566,57585) = 1
LCM(57566,57585) = ( 57566 × 57585) / 1
LCM(57566,57585) = 3314938110 / 1
LCM(57566,57585) = 3314938110

Least Common Multiple (LCM) of 57566 and 57585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57566 and 57585. First we will calculate the prime factors of 57566 and 57585.

Prime Factorization of 57566

Prime Factorization of 57585

Now multiplying the highest exponent prime factors to calculate the LCM of 57566 and 57585.

LCM(57566,57585) = 2¹ × 107¹ × 269¹ × 3¹ × 5¹ × 11¹ × 349¹
LCM(57566,57585) = 3314938110