What is the Least Common Multiple of 40339 and 40343?

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 40339 and 40343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40339 and 40343, than apply into the LCM equation.

GCF(40339,40343) = 1
LCM(40339,40343) = ( 40339 × 40343) / 1
LCM(40339,40343) = 1627396277 / 1
LCM(40339,40343) = 1627396277

Least Common Multiple (LCM) of 40339 and 40343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40339 and 40343. First we will calculate the prime factors of 40339 and 40343.

Prime Factorization of 40339

Prime Factorization of 40343

Now multiplying the highest exponent prime factors to calculate the LCM of 40339 and 40343.

LCM(40339,40343) = 13¹ × 29¹ × 107¹ × 40343¹
LCM(40339,40343) = 1627396277