What is the Least Common Multiple of 1585 and 1595?

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 1585 and 1595 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1585 and 1595, than apply into the LCM equation.

GCF(1585,1595) = 5
LCM(1585,1595) = ( 1585 × 1595) / 5
LCM(1585,1595) = 2528075 / 5
LCM(1585,1595) = 505615

Least Common Multiple (LCM) of 1585 and 1595 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1585 and 1595. First we will calculate the prime factors of 1585 and 1595.

Prime Factorization of 1585

Prime Factorization of 1595

Now multiplying the highest exponent prime factors to calculate the LCM of 1585 and 1595.

LCM(1585,1595) = 5¹ × 317¹ × 11¹ × 29¹
LCM(1585,1595) = 505615