GCF and LCM Calculator Logo

What is the Least Common Multiple of 3244 and 3250?

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 3244 and 3250 is 5271500.

LCM(3244,3250) = 5271500

LCM Calculator and
and

Least Common Multiple of 3244 and 3250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3244 and 3250, than apply into the LCM equation.

GCF(3244,3250) = 2
LCM(3244,3250) = ( 3244 × 3250) / 2
LCM(3244,3250) = 10543000 / 2
LCM(3244,3250) = 5271500

Least Common Multiple (LCM) of 3244 and 3250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3244 and 3250. First we will calculate the prime factors of 3244 and 3250.

Prime Factorization of 3244

Prime factors of 3244 are 2, 811. Prime factorization of 3244 in exponential form is:

3244 = 22 × 8111

Prime Factorization of 3250

Prime factors of 3250 are 2, 5, 13. Prime factorization of 3250 in exponential form is:

3250 = 21 × 53 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 3244 and 3250.

LCM(3244,3250) = 22 × 8111 × 53 × 131
LCM(3244,3250) = 5271500