What is the Least Common Multiple of 13274 and 13288?

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 13274 and 13288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13274 and 13288, than apply into the LCM equation.

GCF(13274,13288) = 2
LCM(13274,13288) = ( 13274 × 13288) / 2
LCM(13274,13288) = 176384912 / 2
LCM(13274,13288) = 88192456

Least Common Multiple (LCM) of 13274 and 13288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13274 and 13288. First we will calculate the prime factors of 13274 and 13288.

Prime Factorization of 13274

Prime Factorization of 13288

Now multiplying the highest exponent prime factors to calculate the LCM of 13274 and 13288.

LCM(13274,13288) = 2³ × 6637¹ × 11¹ × 151¹
LCM(13274,13288) = 88192456