What is the Least Common Multiple of 86385 and 86405?

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 86385 and 86405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86385 and 86405, than apply into the LCM equation.

GCF(86385,86405) = 5
LCM(86385,86405) = ( 86385 × 86405) / 5
LCM(86385,86405) = 7464095925 / 5
LCM(86385,86405) = 1492819185

Least Common Multiple (LCM) of 86385 and 86405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86385 and 86405. First we will calculate the prime factors of 86385 and 86405.

Prime Factorization of 86385

Prime Factorization of 86405

Now multiplying the highest exponent prime factors to calculate the LCM of 86385 and 86405.

LCM(86385,86405) = 3¹ × 5¹ × 13¹ × 443¹ × 11¹ × 1571¹
LCM(86385,86405) = 1492819185