GCF and LCM Calculator Logo

What is the Least Common Multiple of 3482 and 3490?

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 3482 and 3490 is 6076090.

LCM(3482,3490) = 6076090

LCM Calculator and
and

Least Common Multiple of 3482 and 3490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3482 and 3490, than apply into the LCM equation.

GCF(3482,3490) = 2
LCM(3482,3490) = ( 3482 × 3490) / 2
LCM(3482,3490) = 12152180 / 2
LCM(3482,3490) = 6076090

Least Common Multiple (LCM) of 3482 and 3490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3482 and 3490. First we will calculate the prime factors of 3482 and 3490.

Prime Factorization of 3482

Prime factors of 3482 are 2, 1741. Prime factorization of 3482 in exponential form is:

3482 = 21 × 17411

Prime Factorization of 3490

Prime factors of 3490 are 2, 5, 349. Prime factorization of 3490 in exponential form is:

3490 = 21 × 51 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 3482 and 3490.

LCM(3482,3490) = 21 × 17411 × 51 × 3491
LCM(3482,3490) = 6076090