What is the Least Common Multiple of 78423 and 78443?

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 78423 and 78443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78423 and 78443, than apply into the LCM equation.

GCF(78423,78443) = 1
LCM(78423,78443) = ( 78423 × 78443) / 1
LCM(78423,78443) = 6151735389 / 1
LCM(78423,78443) = 6151735389

Least Common Multiple (LCM) of 78423 and 78443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78423 and 78443. First we will calculate the prime factors of 78423 and 78443.

Prime Factorization of 78423

Prime Factorization of 78443

Now multiplying the highest exponent prime factors to calculate the LCM of 78423 and 78443.

LCM(78423,78443) = 3¹ × 26141¹ × 47¹ × 1669¹
LCM(78423,78443) = 6151735389