What is the Least Common Multiple of 81400 and 81405?

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 81400 and 81405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81400 and 81405, than apply into the LCM equation.

GCF(81400,81405) = 5
LCM(81400,81405) = ( 81400 × 81405) / 5
LCM(81400,81405) = 6626367000 / 5
LCM(81400,81405) = 1325273400

Least Common Multiple (LCM) of 81400 and 81405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81400 and 81405. First we will calculate the prime factors of 81400 and 81405.

Prime Factorization of 81400

Prime Factorization of 81405

Now multiplying the highest exponent prime factors to calculate the LCM of 81400 and 81405.

LCM(81400,81405) = 2³ × 5² × 11¹ × 37¹ × 3⁵ × 67¹
LCM(81400,81405) = 1325273400