What is the Least Common Multiple of 12971 and 12991?

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 12971 and 12991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12971 and 12991, than apply into the LCM equation.

GCF(12971,12991) = 1
LCM(12971,12991) = ( 12971 × 12991) / 1
LCM(12971,12991) = 168506261 / 1
LCM(12971,12991) = 168506261

Least Common Multiple (LCM) of 12971 and 12991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12971 and 12991. First we will calculate the prime factors of 12971 and 12991.

Prime Factorization of 12971

Prime Factorization of 12991

Now multiplying the highest exponent prime factors to calculate the LCM of 12971 and 12991.

LCM(12971,12991) = 7¹ × 17¹ × 109¹ × 11¹ × 1181¹
LCM(12971,12991) = 168506261