What is the Least Common Multiple of 82800 and 82806?

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 82800 and 82806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82800 and 82806, than apply into the LCM equation.

GCF(82800,82806) = 6
LCM(82800,82806) = ( 82800 × 82806) / 6
LCM(82800,82806) = 6856336800 / 6
LCM(82800,82806) = 1142722800

Least Common Multiple (LCM) of 82800 and 82806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82800 and 82806. First we will calculate the prime factors of 82800 and 82806.

Prime Factorization of 82800

Prime Factorization of 82806

Now multiplying the highest exponent prime factors to calculate the LCM of 82800 and 82806.

LCM(82800,82806) = 2⁴ × 3² × 5² × 23¹ × 37¹ × 373¹
LCM(82800,82806) = 1142722800