What is the Least Common Multiple of 58259 and 58276?

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 58259 and 58276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58259 and 58276, than apply into the LCM equation.

GCF(58259,58276) = 17
LCM(58259,58276) = ( 58259 × 58276) / 17
LCM(58259,58276) = 3395101484 / 17
LCM(58259,58276) = 199711852

Least Common Multiple (LCM) of 58259 and 58276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58259 and 58276. First we will calculate the prime factors of 58259 and 58276.

Prime Factorization of 58259

Prime Factorization of 58276

Now multiplying the highest exponent prime factors to calculate the LCM of 58259 and 58276.

LCM(58259,58276) = 17¹ × 23¹ × 149¹ × 2² × 857¹
LCM(58259,58276) = 199711852