What is the Least Common Multiple of 12945 and 12965?

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 12945 and 12965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12945 and 12965, than apply into the LCM equation.

GCF(12945,12965) = 5
LCM(12945,12965) = ( 12945 × 12965) / 5
LCM(12945,12965) = 167831925 / 5
LCM(12945,12965) = 33566385

Least Common Multiple (LCM) of 12945 and 12965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12945 and 12965. First we will calculate the prime factors of 12945 and 12965.

Prime Factorization of 12945

Prime Factorization of 12965

Now multiplying the highest exponent prime factors to calculate the LCM of 12945 and 12965.

LCM(12945,12965) = 3¹ × 5¹ × 863¹ × 2593¹
LCM(12945,12965) = 33566385