What is the Least Common Multiple of 12838 and 12842?

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 12838 and 12842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12838 and 12842, than apply into the LCM equation.

GCF(12838,12842) = 2
LCM(12838,12842) = ( 12838 × 12842) / 2
LCM(12838,12842) = 164865596 / 2
LCM(12838,12842) = 82432798

Least Common Multiple (LCM) of 12838 and 12842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12838 and 12842. First we will calculate the prime factors of 12838 and 12842.

Prime Factorization of 12838

Prime Factorization of 12842

Now multiplying the highest exponent prime factors to calculate the LCM of 12838 and 12842.

LCM(12838,12842) = 2¹ × 7² × 131¹ × 6421¹
LCM(12838,12842) = 82432798