What is the Least Common Multiple of 80400 and 80406?

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 80400 and 80406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80400 and 80406, than apply into the LCM equation.

GCF(80400,80406) = 6
LCM(80400,80406) = ( 80400 × 80406) / 6
LCM(80400,80406) = 6464642400 / 6
LCM(80400,80406) = 1077440400

Least Common Multiple (LCM) of 80400 and 80406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80400 and 80406. First we will calculate the prime factors of 80400 and 80406.

Prime Factorization of 80400

Prime Factorization of 80406

Now multiplying the highest exponent prime factors to calculate the LCM of 80400 and 80406.

LCM(80400,80406) = 2⁴ × 3³ × 5² × 67¹ × 1489¹
LCM(80400,80406) = 1077440400