What is the Least Common Multiple of 84399 and 84405?

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 84399 and 84405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84399 and 84405, than apply into the LCM equation.

GCF(84399,84405) = 3
LCM(84399,84405) = ( 84399 × 84405) / 3
LCM(84399,84405) = 7123697595 / 3
LCM(84399,84405) = 2374565865

Least Common Multiple (LCM) of 84399 and 84405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84399 and 84405. First we will calculate the prime factors of 84399 and 84405.

Prime Factorization of 84399

Prime Factorization of 84405

Now multiplying the highest exponent prime factors to calculate the LCM of 84399 and 84405.

LCM(84399,84405) = 3¹ × 7¹ × 4019¹ × 5¹ × 17¹ × 331¹
LCM(84399,84405) = 2374565865