What is the Least Common Multiple of 81405 and 81419?

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 81419 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 81419, than apply into the LCM equation.

GCF(81405,81419) = 1
LCM(81405,81419) = ( 81405 × 81419) / 1
LCM(81405,81419) = 6627913695 / 1
LCM(81405,81419) = 6627913695

Least Common Multiple (LCM) of 81405 and 81419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81405 and 81419. First we will calculate the prime factors of 81405 and 81419.

Prime Factorization of 81405

Prime Factorization of 81419

Now multiplying the highest exponent prime factors to calculate the LCM of 81405 and 81419.

LCM(81405,81419) = 3⁵ × 5¹ × 67¹ × 13¹ × 6263¹
LCM(81405,81419) = 6627913695