What is the Least Common Multiple of 58319 and 58327?

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 58319 and 58327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58319 and 58327, than apply into the LCM equation.

GCF(58319,58327) = 1
LCM(58319,58327) = ( 58319 × 58327) / 1
LCM(58319,58327) = 3401572313 / 1
LCM(58319,58327) = 3401572313

Least Common Multiple (LCM) of 58319 and 58327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58319 and 58327. First we will calculate the prime factors of 58319 and 58327.

Prime Factorization of 58319

Prime Factorization of 58327

Now multiplying the highest exponent prime factors to calculate the LCM of 58319 and 58327.

LCM(58319,58327) = 29¹ × 2011¹ × 17¹ × 47¹ × 73¹
LCM(58319,58327) = 3401572313