What is the Least Common Multiple of 82405 and 82410?

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 82405 and 82410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82405 and 82410, than apply into the LCM equation.

GCF(82405,82410) = 5
LCM(82405,82410) = ( 82405 × 82410) / 5
LCM(82405,82410) = 6790996050 / 5
LCM(82405,82410) = 1358199210

Least Common Multiple (LCM) of 82405 and 82410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82405 and 82410. First we will calculate the prime factors of 82405 and 82410.

Prime Factorization of 82405

Prime Factorization of 82410

Now multiplying the highest exponent prime factors to calculate the LCM of 82405 and 82410.

LCM(82405,82410) = 5¹ × 16481¹ × 2¹ × 3¹ × 41¹ × 67¹
LCM(82405,82410) = 1358199210