What is the Least Common Multiple of 58809 and 58817?

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 58809 and 58817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58809 and 58817, than apply into the LCM equation.

GCF(58809,58817) = 1
LCM(58809,58817) = ( 58809 × 58817) / 1
LCM(58809,58817) = 3458968953 / 1
LCM(58809,58817) = 3458968953

Least Common Multiple (LCM) of 58809 and 58817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58809 and 58817. First we will calculate the prime factors of 58809 and 58817.

Prime Factorization of 58809

Prime Factorization of 58817

Now multiplying the highest exponent prime factors to calculate the LCM of 58809 and 58817.

LCM(58809,58817) = 3¹ × 19603¹ × 11¹ × 5347¹
LCM(58809,58817) = 3458968953