What is the Least Common Multiple of 84405 and 84417?

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 84405 and 84417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84405 and 84417, than apply into the LCM equation.

GCF(84405,84417) = 3
LCM(84405,84417) = ( 84405 × 84417) / 3
LCM(84405,84417) = 7125216885 / 3
LCM(84405,84417) = 2375072295

Least Common Multiple (LCM) of 84405 and 84417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84405 and 84417. First we will calculate the prime factors of 84405 and 84417.

Prime Factorization of 84405

Prime Factorization of 84417

Now multiplying the highest exponent prime factors to calculate the LCM of 84405 and 84417.

LCM(84405,84417) = 3¹ × 5¹ × 17¹ × 331¹ × 19¹ × 1481¹
LCM(84405,84417) = 2375072295