What is the Least Common Multiple of 58238 and 58249?

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 58238 and 58249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58238 and 58249, than apply into the LCM equation.

GCF(58238,58249) = 1
LCM(58238,58249) = ( 58238 × 58249) / 1
LCM(58238,58249) = 3392305262 / 1
LCM(58238,58249) = 3392305262

Least Common Multiple (LCM) of 58238 and 58249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58238 and 58249. First we will calculate the prime factors of 58238 and 58249.

Prime Factorization of 58238

Prime Factorization of 58249

Now multiplying the highest exponent prime factors to calculate the LCM of 58238 and 58249.

LCM(58238,58249) = 2¹ × 37¹ × 787¹ × 31¹ × 1879¹
LCM(58238,58249) = 3392305262