What is the Least Common Multiple of 12945 and 12954?

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 12954 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 12954, than apply into the LCM equation.

GCF(12945,12954) = 3
LCM(12945,12954) = ( 12945 × 12954) / 3
LCM(12945,12954) = 167689530 / 3
LCM(12945,12954) = 55896510

Least Common Multiple (LCM) of 12945 and 12954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12945 and 12954. First we will calculate the prime factors of 12945 and 12954.

Prime Factorization of 12945

Prime Factorization of 12954

Now multiplying the highest exponent prime factors to calculate the LCM of 12945 and 12954.

LCM(12945,12954) = 3¹ × 5¹ × 863¹ × 2¹ × 17¹ × 127¹
LCM(12945,12954) = 55896510