What is the Least Common Multiple of 69339 and 69347?

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 69339 and 69347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69339 and 69347, than apply into the LCM equation.

GCF(69339,69347) = 1
LCM(69339,69347) = ( 69339 × 69347) / 1
LCM(69339,69347) = 4808451633 / 1
LCM(69339,69347) = 4808451633

Least Common Multiple (LCM) of 69339 and 69347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69339 and 69347. First we will calculate the prime factors of 69339 and 69347.

Prime Factorization of 69339

Prime Factorization of 69347

Now multiplying the highest exponent prime factors to calculate the LCM of 69339 and 69347.

LCM(69339,69347) = 3¹ × 29¹ × 797¹ × 31¹ × 2237¹
LCM(69339,69347) = 4808451633