What is the Least Common Multiple of 12961 and 12971?

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 12971 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 12971, than apply into the LCM equation.

GCF(12961,12971) = 1
LCM(12961,12971) = ( 12961 × 12971) / 1
LCM(12961,12971) = 168117131 / 1
LCM(12961,12971) = 168117131

Least Common Multiple (LCM) of 12961 and 12971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12961 and 12971. First we will calculate the prime factors of 12961 and 12971.

Prime Factorization of 12961

Prime Factorization of 12971

Now multiplying the highest exponent prime factors to calculate the LCM of 12961 and 12971.

LCM(12961,12971) = 13¹ × 997¹ × 7¹ × 17¹ × 109¹
LCM(12961,12971) = 168117131