What is the Least Common Multiple of 58806 and 58822?

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 58806 and 58822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58806 and 58822, than apply into the LCM equation.

GCF(58806,58822) = 2
LCM(58806,58822) = ( 58806 × 58822) / 2
LCM(58806,58822) = 3459086532 / 2
LCM(58806,58822) = 1729543266

Least Common Multiple (LCM) of 58806 and 58822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58806 and 58822. First we will calculate the prime factors of 58806 and 58822.

Prime Factorization of 58806

Prime Factorization of 58822

Now multiplying the highest exponent prime factors to calculate the LCM of 58806 and 58822.

LCM(58806,58822) = 2¹ × 3⁵ × 11² × 29411¹
LCM(58806,58822) = 1729543266