What is the Least Common Multiple of 13086 and 13096?

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 13086 and 13096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13086 and 13096, than apply into the LCM equation.

GCF(13086,13096) = 2
LCM(13086,13096) = ( 13086 × 13096) / 2
LCM(13086,13096) = 171374256 / 2
LCM(13086,13096) = 85687128

Least Common Multiple (LCM) of 13086 and 13096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13086 and 13096. First we will calculate the prime factors of 13086 and 13096.

Prime Factorization of 13086

Prime Factorization of 13096

Now multiplying the highest exponent prime factors to calculate the LCM of 13086 and 13096.

LCM(13086,13096) = 2³ × 3² × 727¹ × 1637¹
LCM(13086,13096) = 85687128