What is the Least Common Multiple of 12838 and 12852?

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 12852 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 12852, than apply into the LCM equation.

GCF(12838,12852) = 14
LCM(12838,12852) = ( 12838 × 12852) / 14
LCM(12838,12852) = 164993976 / 14
LCM(12838,12852) = 11785284

Least Common Multiple (LCM) of 12838 and 12852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12838 and 12852. First we will calculate the prime factors of 12838 and 12852.

Prime Factorization of 12838

Prime Factorization of 12852

Now multiplying the highest exponent prime factors to calculate the LCM of 12838 and 12852.

LCM(12838,12852) = 2² × 7² × 131¹ × 3³ × 17¹
LCM(12838,12852) = 11785284