What is the Least Common Multiple of 78543 and 78549?

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 78543 and 78549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78543 and 78549, than apply into the LCM equation.

GCF(78543,78549) = 3
LCM(78543,78549) = ( 78543 × 78549) / 3
LCM(78543,78549) = 6169474107 / 3
LCM(78543,78549) = 2056491369

Least Common Multiple (LCM) of 78543 and 78549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78543 and 78549. First we will calculate the prime factors of 78543 and 78549.

Prime Factorization of 78543

Prime Factorization of 78549

Now multiplying the highest exponent prime factors to calculate the LCM of 78543 and 78549.

LCM(78543,78549) = 3³ × 2909¹ × 26183¹
LCM(78543,78549) = 2056491369