What is the Least Common Multiple of 58204 and 58223?

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 58204 and 58223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58204 and 58223, than apply into the LCM equation.

GCF(58204,58223) = 1
LCM(58204,58223) = ( 58204 × 58223) / 1
LCM(58204,58223) = 3388811492 / 1
LCM(58204,58223) = 3388811492

Least Common Multiple (LCM) of 58204 and 58223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58204 and 58223. First we will calculate the prime factors of 58204 and 58223.

Prime Factorization of 58204

Prime Factorization of 58223

Now multiplying the highest exponent prime factors to calculate the LCM of 58204 and 58223.

LCM(58204,58223) = 2² × 14551¹ × 11¹ × 67¹ × 79¹
LCM(58204,58223) = 3388811492