What is the Least Common Multiple of 38588 and 38595?

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 38588 and 38595 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38588 and 38595, than apply into the LCM equation.

GCF(38588,38595) = 1
LCM(38588,38595) = ( 38588 × 38595) / 1
LCM(38588,38595) = 1489303860 / 1
LCM(38588,38595) = 1489303860

Least Common Multiple (LCM) of 38588 and 38595 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38588 and 38595. First we will calculate the prime factors of 38588 and 38595.

Prime Factorization of 38588

Prime Factorization of 38595

Now multiplying the highest exponent prime factors to calculate the LCM of 38588 and 38595.

LCM(38588,38595) = 2² × 11¹ × 877¹ × 3¹ × 5¹ × 31¹ × 83¹
LCM(38588,38595) = 1489303860