What is the Least Common Multiple of 78814 and 78829?

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 78814 and 78829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78814 and 78829, than apply into the LCM equation.

GCF(78814,78829) = 1
LCM(78814,78829) = ( 78814 × 78829) / 1
LCM(78814,78829) = 6212828806 / 1
LCM(78814,78829) = 6212828806

Least Common Multiple (LCM) of 78814 and 78829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78814 and 78829. First we will calculate the prime factors of 78814 and 78829.

Prime Factorization of 78814

Prime Factorization of 78829

Now multiplying the highest exponent prime factors to calculate the LCM of 78814 and 78829.

LCM(78814,78829) = 2¹ × 157¹ × 251¹ × 17¹ × 4637¹
LCM(78814,78829) = 6212828806