What is the Least Common Multiple of 12971 and 12989?

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 12989 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 12989, than apply into the LCM equation.

GCF(12971,12989) = 1
LCM(12971,12989) = ( 12971 × 12989) / 1
LCM(12971,12989) = 168480319 / 1
LCM(12971,12989) = 168480319

Least Common Multiple (LCM) of 12971 and 12989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12971 and 12989. First we will calculate the prime factors of 12971 and 12989.

Prime Factorization of 12971

Prime Factorization of 12989

Now multiplying the highest exponent prime factors to calculate the LCM of 12971 and 12989.

LCM(12971,12989) = 7¹ × 17¹ × 109¹ × 31¹ × 419¹
LCM(12971,12989) = 168480319