GCF and LCM Calculator Logo

What is the Least Common Multiple of 3481 and 3489?

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 3481 and 3489 is 12145209.

LCM(3481,3489) = 12145209

LCM Calculator and
and

Least Common Multiple of 3481 and 3489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3481 and 3489, than apply into the LCM equation.

GCF(3481,3489) = 1
LCM(3481,3489) = ( 3481 × 3489) / 1
LCM(3481,3489) = 12145209 / 1
LCM(3481,3489) = 12145209

Least Common Multiple (LCM) of 3481 and 3489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3481 and 3489. First we will calculate the prime factors of 3481 and 3489.

Prime Factorization of 3481

Prime factors of 3481 are 59. Prime factorization of 3481 in exponential form is:

3481 = 592

Prime Factorization of 3489

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

3489 = 31 × 11631

Now multiplying the highest exponent prime factors to calculate the LCM of 3481 and 3489.

LCM(3481,3489) = 592 × 31 × 11631
LCM(3481,3489) = 12145209