What is the Least Common Multiple of 41385 and 41405?

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 41385 and 41405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41385 and 41405, than apply into the LCM equation.

GCF(41385,41405) = 5
LCM(41385,41405) = ( 41385 × 41405) / 5
LCM(41385,41405) = 1713545925 / 5
LCM(41385,41405) = 342709185

Least Common Multiple (LCM) of 41385 and 41405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41385 and 41405. First we will calculate the prime factors of 41385 and 41405.

Prime Factorization of 41385

Prime Factorization of 41405

Now multiplying the highest exponent prime factors to calculate the LCM of 41385 and 41405.

LCM(41385,41405) = 3¹ × 5¹ × 31¹ × 89¹ × 7² × 13²
LCM(41385,41405) = 342709185