What is the Least Common Multiple of 81405 and 81409?

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 81405 and 81409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81405 and 81409, than apply into the LCM equation.

GCF(81405,81409) = 1
LCM(81405,81409) = ( 81405 × 81409) / 1
LCM(81405,81409) = 6627099645 / 1
LCM(81405,81409) = 6627099645

Least Common Multiple (LCM) of 81405 and 81409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81405 and 81409. First we will calculate the prime factors of 81405 and 81409.

Prime Factorization of 81405

Prime Factorization of 81409

Now multiplying the highest exponent prime factors to calculate the LCM of 81405 and 81409.

LCM(81405,81409) = 3⁵ × 5¹ × 67¹ × 81409¹
LCM(81405,81409) = 6627099645