GCF and LCM Calculator Logo

What is the Least Common Multiple of 39329 and 39339?

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 (LCM) of 39329 and 39339 is 1547163531.

LCM(39329,39339) = 1547163531

LCM Calculator and
and

Least Common Multiple of 39329 and 39339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39329 and 39339, than apply into the LCM equation.

GCF(39329,39339) = 1
LCM(39329,39339) = ( 39329 × 39339) / 1
LCM(39329,39339) = 1547163531 / 1
LCM(39329,39339) = 1547163531

Least Common Multiple (LCM) of 39329 and 39339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39329 and 39339. First we will calculate the prime factors of 39329 and 39339.

Prime Factorization of 39329

Prime factors of 39329 are 67, 587. Prime factorization of 39329 in exponential form is:

39329 = 671 × 5871

Prime Factorization of 39339

Prime factors of 39339 are 3, 31, 47. Prime factorization of 39339 in exponential form is:

39339 = 33 × 311 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 39329 and 39339.

LCM(39329,39339) = 671 × 5871 × 33 × 311 × 471
LCM(39329,39339) = 1547163531