What is the Least Common Multiple of 78429 and 78449?

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 78429 and 78449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78429 and 78449, than apply into the LCM equation.

GCF(78429,78449) = 1
LCM(78429,78449) = ( 78429 × 78449) / 1
LCM(78429,78449) = 6152676621 / 1
LCM(78429,78449) = 6152676621

Least Common Multiple (LCM) of 78429 and 78449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78429 and 78449. First we will calculate the prime factors of 78429 and 78449.

Prime Factorization of 78429

Prime Factorization of 78449

Now multiplying the highest exponent prime factors to calculate the LCM of 78429 and 78449.

LCM(78429,78449) = 3¹ × 13¹ × 2011¹ × 7² × 1601¹
LCM(78429,78449) = 6152676621