What is the Least Common Multiple of 13238 and 13258?

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 13238 and 13258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13238 and 13258, than apply into the LCM equation.

GCF(13238,13258) = 2
LCM(13238,13258) = ( 13238 × 13258) / 2
LCM(13238,13258) = 175509404 / 2
LCM(13238,13258) = 87754702

Least Common Multiple (LCM) of 13238 and 13258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13238 and 13258. First we will calculate the prime factors of 13238 and 13258.

Prime Factorization of 13238

Prime Factorization of 13258

Now multiplying the highest exponent prime factors to calculate the LCM of 13238 and 13258.

LCM(13238,13258) = 2¹ × 6619¹ × 7¹ × 947¹
LCM(13238,13258) = 87754702