What is the Least Common Multiple of 36580 and 36585?

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 36580 and 36585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36580 and 36585, than apply into the LCM equation.

GCF(36580,36585) = 5
LCM(36580,36585) = ( 36580 × 36585) / 5
LCM(36580,36585) = 1338279300 / 5
LCM(36580,36585) = 267655860

Least Common Multiple (LCM) of 36580 and 36585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36580 and 36585. First we will calculate the prime factors of 36580 and 36585.

Prime Factorization of 36580

Prime Factorization of 36585

Now multiplying the highest exponent prime factors to calculate the LCM of 36580 and 36585.

LCM(36580,36585) = 2² × 5¹ × 31¹ × 59¹ × 3³ × 271¹
LCM(36580,36585) = 267655860