GCF and LCM Calculator Logo

What is the Least Common Multiple of 3489 and 3505?

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 3489 and 3505 is 12228945.

LCM(3489,3505) = 12228945

LCM Calculator and
and

Least Common Multiple of 3489 and 3505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3489 and 3505, than apply into the LCM equation.

GCF(3489,3505) = 1
LCM(3489,3505) = ( 3489 × 3505) / 1
LCM(3489,3505) = 12228945 / 1
LCM(3489,3505) = 12228945

Least Common Multiple (LCM) of 3489 and 3505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3489 and 3505. First we will calculate the prime factors of 3489 and 3505.

Prime Factorization of 3489

Prime factors of 3489 are 3, 1163. Prime factorization of 3489 in exponential form is:

3489 = 31 × 11631

Prime Factorization of 3505

Prime factors of 3505 are 5, 701. Prime factorization of 3505 in exponential form is:

3505 = 51 × 7011

Now multiplying the highest exponent prime factors to calculate the LCM of 3489 and 3505.

LCM(3489,3505) = 31 × 11631 × 51 × 7011
LCM(3489,3505) = 12228945