What is the Least Common Multiple of 82404 and 82423?

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 82404 and 82423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82404 and 82423, than apply into the LCM equation.

GCF(82404,82423) = 1
LCM(82404,82423) = ( 82404 × 82423) / 1
LCM(82404,82423) = 6791984892 / 1
LCM(82404,82423) = 6791984892

Least Common Multiple (LCM) of 82404 and 82423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82404 and 82423. First we will calculate the prime factors of 82404 and 82423.

Prime Factorization of 82404

Prime Factorization of 82423

Now multiplying the highest exponent prime factors to calculate the LCM of 82404 and 82423.

LCM(82404,82423) = 2² × 3³ × 7¹ × 109¹ × 11¹ × 59¹ × 127¹
LCM(82404,82423) = 6791984892