What is the Least Common Multiple of 32385 and 32405?

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 32385 and 32405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32385 and 32405, than apply into the LCM equation.

GCF(32385,32405) = 5
LCM(32385,32405) = ( 32385 × 32405) / 5
LCM(32385,32405) = 1049435925 / 5
LCM(32385,32405) = 209887185

Least Common Multiple (LCM) of 32385 and 32405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32385 and 32405. First we will calculate the prime factors of 32385 and 32405.

Prime Factorization of 32385

Prime Factorization of 32405

Now multiplying the highest exponent prime factors to calculate the LCM of 32385 and 32405.

LCM(32385,32405) = 3¹ × 5¹ × 17¹ × 127¹ × 6481¹
LCM(32385,32405) = 209887185