What is the Least Common Multiple of 58302 and 58307?

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 58307 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 58307, than apply into the LCM equation.

GCF(58302,58307) = 1
LCM(58302,58307) = ( 58302 × 58307) / 1
LCM(58302,58307) = 3399414714 / 1
LCM(58302,58307) = 3399414714

Least Common Multiple (LCM) of 58302 and 58307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58302 and 58307. First we will calculate the prime factors of 58302 and 58307.

Prime Factorization of 58302

Prime Factorization of 58307

Now multiplying the highest exponent prime factors to calculate the LCM of 58302 and 58307.

LCM(58302,58307) = 2¹ × 3² × 41¹ × 79¹ × 199¹ × 293¹
LCM(58302,58307) = 3399414714