What is the Least Common Multiple of 36585 and 36595?

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 36585 and 36595 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36585 and 36595, than apply into the LCM equation.

GCF(36585,36595) = 5
LCM(36585,36595) = ( 36585 × 36595) / 5
LCM(36585,36595) = 1338828075 / 5
LCM(36585,36595) = 267765615

Least Common Multiple (LCM) of 36585 and 36595 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36585 and 36595. First we will calculate the prime factors of 36585 and 36595.

Prime Factorization of 36585

Prime Factorization of 36595

Now multiplying the highest exponent prime factors to calculate the LCM of 36585 and 36595.

LCM(36585,36595) = 3³ × 5¹ × 271¹ × 13¹ × 563¹
LCM(36585,36595) = 267765615