What is the Least Common Multiple of 13258 and 13274?

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 13258 and 13274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13258 and 13274, than apply into the LCM equation.

GCF(13258,13274) = 2
LCM(13258,13274) = ( 13258 × 13274) / 2
LCM(13258,13274) = 175986692 / 2
LCM(13258,13274) = 87993346

Least Common Multiple (LCM) of 13258 and 13274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13258 and 13274. First we will calculate the prime factors of 13258 and 13274.

Prime Factorization of 13258

Prime Factorization of 13274

Now multiplying the highest exponent prime factors to calculate the LCM of 13258 and 13274.

LCM(13258,13274) = 2¹ × 7¹ × 947¹ × 6637¹
LCM(13258,13274) = 87993346