What is the Least Common Multiple of 78812 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 78812 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 78812 and 78829, than apply into the LCM equation.

GCF(78812,78829) = 17
LCM(78812,78829) = ( 78812 × 78829) / 17
LCM(78812,78829) = 6212671148 / 17
LCM(78812,78829) = 365451244

Least Common Multiple (LCM) of 78812 and 78829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78812 and 78829. First we will calculate the prime factors of 78812 and 78829.

Prime Factorization of 78812

Prime Factorization of 78829

Now multiplying the highest exponent prime factors to calculate the LCM of 78812 and 78829.

LCM(78812,78829) = 2² × 17¹ × 19¹ × 61¹ × 4637¹
LCM(78812,78829) = 365451244