What is the Least Common Multiple of 12889 and 12894?

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 12889 and 12894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12889 and 12894, than apply into the LCM equation.

GCF(12889,12894) = 1
LCM(12889,12894) = ( 12889 × 12894) / 1
LCM(12889,12894) = 166190766 / 1
LCM(12889,12894) = 166190766

Least Common Multiple (LCM) of 12889 and 12894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12889 and 12894. First we will calculate the prime factors of 12889 and 12894.

Prime Factorization of 12889

Prime Factorization of 12894

Now multiplying the highest exponent prime factors to calculate the LCM of 12889 and 12894.

LCM(12889,12894) = 12889¹ × 2¹ × 3¹ × 7¹ × 307¹
LCM(12889,12894) = 166190766