What is the Least Common Multiple of 12830 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 12830 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 12830 and 12842, than apply into the LCM equation.

GCF(12830,12842) = 2
LCM(12830,12842) = ( 12830 × 12842) / 2
LCM(12830,12842) = 164762860 / 2
LCM(12830,12842) = 82381430

Least Common Multiple (LCM) of 12830 and 12842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12830 and 12842. First we will calculate the prime factors of 12830 and 12842.

Prime Factorization of 12830

Prime Factorization of 12842

Now multiplying the highest exponent prime factors to calculate the LCM of 12830 and 12842.

LCM(12830,12842) = 2¹ × 5¹ × 1283¹ × 6421¹
LCM(12830,12842) = 82381430