What is the Least Common Multiple of 12706 and 12719?

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 12706 and 12719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12706 and 12719, than apply into the LCM equation.

GCF(12706,12719) = 1
LCM(12706,12719) = ( 12706 × 12719) / 1
LCM(12706,12719) = 161607614 / 1
LCM(12706,12719) = 161607614

Least Common Multiple (LCM) of 12706 and 12719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12706 and 12719. First we will calculate the prime factors of 12706 and 12719.

Prime Factorization of 12706

Prime Factorization of 12719

Now multiplying the highest exponent prime factors to calculate the LCM of 12706 and 12719.

LCM(12706,12719) = 2¹ × 6353¹ × 7¹ × 23¹ × 79¹
LCM(12706,12719) = 161607614