What is the Least Common Multiple of 5228 and 5238?

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 5228 and 5238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5228 and 5238, than apply into the LCM equation.

GCF(5228,5238) = 2
LCM(5228,5238) = ( 5228 × 5238) / 2
LCM(5228,5238) = 27384264 / 2
LCM(5228,5238) = 13692132

Least Common Multiple (LCM) of 5228 and 5238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5228 and 5238. First we will calculate the prime factors of 5228 and 5238.

Prime Factorization of 5228

Prime Factorization of 5238

Now multiplying the highest exponent prime factors to calculate the LCM of 5228 and 5238.

LCM(5228,5238) = 2² × 1307¹ × 3³ × 97¹
LCM(5228,5238) = 13692132