What is the Least Common Multiple of 12945 and 12961?

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 12961 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 12961, than apply into the LCM equation.

GCF(12945,12961) = 1
LCM(12945,12961) = ( 12945 × 12961) / 1
LCM(12945,12961) = 167780145 / 1
LCM(12945,12961) = 167780145

Least Common Multiple (LCM) of 12945 and 12961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12945 and 12961. First we will calculate the prime factors of 12945 and 12961.

Prime Factorization of 12945

Prime Factorization of 12961

Now multiplying the highest exponent prime factors to calculate the LCM of 12945 and 12961.

LCM(12945,12961) = 3¹ × 5¹ × 863¹ × 13¹ × 997¹
LCM(12945,12961) = 167780145