What is the Least Common Multiple of 5230 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 5230 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 5230 and 5238, than apply into the LCM equation.

GCF(5230,5238) = 2
LCM(5230,5238) = ( 5230 × 5238) / 2
LCM(5230,5238) = 27394740 / 2
LCM(5230,5238) = 13697370

Least Common Multiple (LCM) of 5230 and 5238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5230 and 5238. First we will calculate the prime factors of 5230 and 5238.

Prime Factorization of 5230

Prime Factorization of 5238

Now multiplying the highest exponent prime factors to calculate the LCM of 5230 and 5238.

LCM(5230,5238) = 2¹ × 5¹ × 523¹ × 3³ × 97¹
LCM(5230,5238) = 13697370