What is the Least Common Multiple of 12872 and 12892?

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 12872 and 12892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12872 and 12892, than apply into the LCM equation.

GCF(12872,12892) = 4
LCM(12872,12892) = ( 12872 × 12892) / 4
LCM(12872,12892) = 165945824 / 4
LCM(12872,12892) = 41486456

Least Common Multiple (LCM) of 12872 and 12892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12872 and 12892. First we will calculate the prime factors of 12872 and 12892.

Prime Factorization of 12872

Prime Factorization of 12892

Now multiplying the highest exponent prime factors to calculate the LCM of 12872 and 12892.

LCM(12872,12892) = 2³ × 1609¹ × 11¹ × 293¹
LCM(12872,12892) = 41486456