What is the Least Common Multiple of 96405 and 96410?

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 96405 and 96410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96405 and 96410, than apply into the LCM equation.

GCF(96405,96410) = 5
LCM(96405,96410) = ( 96405 × 96410) / 5
LCM(96405,96410) = 9294406050 / 5
LCM(96405,96410) = 1858881210

Least Common Multiple (LCM) of 96405 and 96410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96405 and 96410. First we will calculate the prime factors of 96405 and 96410.

Prime Factorization of 96405

Prime Factorization of 96410

Now multiplying the highest exponent prime factors to calculate the LCM of 96405 and 96410.

LCM(96405,96410) = 3¹ × 5¹ × 6427¹ × 2¹ × 31¹ × 311¹
LCM(96405,96410) = 1858881210