What is the Least Common Multiple of 12961 and 12974?

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 12961 and 12974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12961 and 12974, than apply into the LCM equation.

GCF(12961,12974) = 13
LCM(12961,12974) = ( 12961 × 12974) / 13
LCM(12961,12974) = 168156014 / 13
LCM(12961,12974) = 12935078

Least Common Multiple (LCM) of 12961 and 12974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12961 and 12974. First we will calculate the prime factors of 12961 and 12974.

Prime Factorization of 12961

Prime Factorization of 12974

Now multiplying the highest exponent prime factors to calculate the LCM of 12961 and 12974.

LCM(12961,12974) = 13¹ × 997¹ × 2¹ × 499¹
LCM(12961,12974) = 12935078