GCF and LCM Calculator Logo

What is the Least Common Multiple of 3205 and 3219?

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 3205 and 3219 is 10316895.

LCM(3205,3219) = 10316895

LCM Calculator and
and

Least Common Multiple of 3205 and 3219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3205 and 3219, than apply into the LCM equation.

GCF(3205,3219) = 1
LCM(3205,3219) = ( 3205 × 3219) / 1
LCM(3205,3219) = 10316895 / 1
LCM(3205,3219) = 10316895

Least Common Multiple (LCM) of 3205 and 3219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3205 and 3219. First we will calculate the prime factors of 3205 and 3219.

Prime Factorization of 3205

Prime factors of 3205 are 5, 641. Prime factorization of 3205 in exponential form is:

3205 = 51 × 6411

Prime Factorization of 3219

Prime factors of 3219 are 3, 29, 37. Prime factorization of 3219 in exponential form is:

3219 = 31 × 291 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 3205 and 3219.

LCM(3205,3219) = 51 × 6411 × 31 × 291 × 371
LCM(3205,3219) = 10316895