What is the Least Common Multiple of 58302 and 58311?

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 58302 and 58311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58302 and 58311, than apply into the LCM equation.

GCF(58302,58311) = 9
LCM(58302,58311) = ( 58302 × 58311) / 9
LCM(58302,58311) = 3399647922 / 9
LCM(58302,58311) = 377738658

Least Common Multiple (LCM) of 58302 and 58311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58302 and 58311. First we will calculate the prime factors of 58302 and 58311.

Prime Factorization of 58302

Prime Factorization of 58311

Now multiplying the highest exponent prime factors to calculate the LCM of 58302 and 58311.

LCM(58302,58311) = 2¹ × 3² × 41¹ × 79¹ × 11¹ × 19¹ × 31¹
LCM(58302,58311) = 377738658