What is the Least Common Multiple of 12890 and 12896?

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 12890 and 12896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12890 and 12896, than apply into the LCM equation.

GCF(12890,12896) = 2
LCM(12890,12896) = ( 12890 × 12896) / 2
LCM(12890,12896) = 166229440 / 2
LCM(12890,12896) = 83114720

Least Common Multiple (LCM) of 12890 and 12896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12890 and 12896. First we will calculate the prime factors of 12890 and 12896.

Prime Factorization of 12890

Prime Factorization of 12896

Now multiplying the highest exponent prime factors to calculate the LCM of 12890 and 12896.

LCM(12890,12896) = 2⁵ × 5¹ × 1289¹ × 13¹ × 31¹
LCM(12890,12896) = 83114720