What is the Least Common Multiple of 13071 and 13086?

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 13071 and 13086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13071 and 13086, than apply into the LCM equation.

GCF(13071,13086) = 3
LCM(13071,13086) = ( 13071 × 13086) / 3
LCM(13071,13086) = 171047106 / 3
LCM(13071,13086) = 57015702

Least Common Multiple (LCM) of 13071 and 13086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13071 and 13086. First we will calculate the prime factors of 13071 and 13086.

Prime Factorization of 13071

Prime Factorization of 13086

Now multiplying the highest exponent prime factors to calculate the LCM of 13071 and 13086.

LCM(13071,13086) = 3² × 4357¹ × 2¹ × 727¹
LCM(13071,13086) = 57015702