What is the Least Common Multiple of 12965 and 12969?

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 12965 and 12969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12965 and 12969, than apply into the LCM equation.

GCF(12965,12969) = 1
LCM(12965,12969) = ( 12965 × 12969) / 1
LCM(12965,12969) = 168143085 / 1
LCM(12965,12969) = 168143085

Least Common Multiple (LCM) of 12965 and 12969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12965 and 12969. First we will calculate the prime factors of 12965 and 12969.

Prime Factorization of 12965

Prime Factorization of 12969

Now multiplying the highest exponent prime factors to calculate the LCM of 12965 and 12969.

LCM(12965,12969) = 5¹ × 2593¹ × 3² × 11¹ × 131¹
LCM(12965,12969) = 168143085