What is the Least Common Multiple of 3339 and 3347?

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 3339 and 3347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3339 and 3347, than apply into the LCM equation.

GCF(3339,3347) = 1
LCM(3339,3347) = ( 3339 × 3347) / 1
LCM(3339,3347) = 11175633 / 1
LCM(3339,3347) = 11175633

Least Common Multiple (LCM) of 3339 and 3347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3339 and 3347. First we will calculate the prime factors of 3339 and 3347.

Prime Factorization of 3339

Prime Factorization of 3347

Now multiplying the highest exponent prime factors to calculate the LCM of 3339 and 3347.

LCM(3339,3347) = 3² × 7¹ × 53¹ × 3347¹
LCM(3339,3347) = 11175633