What is the Least Common Multiple of 13165 and 13172?

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 13165 and 13172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13165 and 13172, than apply into the LCM equation.

GCF(13165,13172) = 1
LCM(13165,13172) = ( 13165 × 13172) / 1
LCM(13165,13172) = 173409380 / 1
LCM(13165,13172) = 173409380

Least Common Multiple (LCM) of 13165 and 13172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13165 and 13172. First we will calculate the prime factors of 13165 and 13172.

Prime Factorization of 13165

Prime Factorization of 13172

Now multiplying the highest exponent prime factors to calculate the LCM of 13165 and 13172.

LCM(13165,13172) = 5¹ × 2633¹ × 2² × 37¹ × 89¹
LCM(13165,13172) = 173409380