What is the Least Common Multiple of 8238 and 8258?

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 8238 and 8258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8238 and 8258, than apply into the LCM equation.

GCF(8238,8258) = 2
LCM(8238,8258) = ( 8238 × 8258) / 2
LCM(8238,8258) = 68029404 / 2
LCM(8238,8258) = 34014702

Least Common Multiple (LCM) of 8238 and 8258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8238 and 8258. First we will calculate the prime factors of 8238 and 8258.

Prime Factorization of 8238

Prime Factorization of 8258

Now multiplying the highest exponent prime factors to calculate the LCM of 8238 and 8258.

LCM(8238,8258) = 2¹ × 3¹ × 1373¹ × 4129¹
LCM(8238,8258) = 34014702