What is the Least Common Multiple of 5238 and 5258?

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 5238 and 5258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5238 and 5258, than apply into the LCM equation.

GCF(5238,5258) = 2
LCM(5238,5258) = ( 5238 × 5258) / 2
LCM(5238,5258) = 27541404 / 2
LCM(5238,5258) = 13770702

Least Common Multiple (LCM) of 5238 and 5258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5238 and 5258. First we will calculate the prime factors of 5238 and 5258.

Prime Factorization of 5238

Prime Factorization of 5258

Now multiplying the highest exponent prime factors to calculate the LCM of 5238 and 5258.

LCM(5238,5258) = 2¹ × 3³ × 97¹ × 11¹ × 239¹
LCM(5238,5258) = 13770702