What is the Least Common Multiple of 78339 and 78343?

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 78339 and 78343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78339 and 78343, than apply into the LCM equation.

GCF(78339,78343) = 1
LCM(78339,78343) = ( 78339 × 78343) / 1
LCM(78339,78343) = 6137312277 / 1
LCM(78339,78343) = 6137312277

Least Common Multiple (LCM) of 78339 and 78343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78339 and 78343. First we will calculate the prime factors of 78339 and 78343.

Prime Factorization of 78339

Prime Factorization of 78343

Now multiplying the highest exponent prime factors to calculate the LCM of 78339 and 78343.

LCM(78339,78343) = 3¹ × 26113¹ × 157¹ × 499¹
LCM(78339,78343) = 6137312277