What is the Least Common Multiple of 13172 and 13186?

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 13172 and 13186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13172 and 13186, than apply into the LCM equation.

GCF(13172,13186) = 2
LCM(13172,13186) = ( 13172 × 13186) / 2
LCM(13172,13186) = 173685992 / 2
LCM(13172,13186) = 86842996

Least Common Multiple (LCM) of 13172 and 13186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13172 and 13186. First we will calculate the prime factors of 13172 and 13186.

Prime Factorization of 13172

Prime Factorization of 13186

Now multiplying the highest exponent prime factors to calculate the LCM of 13172 and 13186.

LCM(13172,13186) = 2² × 37¹ × 89¹ × 19¹ × 347¹
LCM(13172,13186) = 86842996