Least Common Multiple of 3487 and 3491

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3487 and 3491 the smallest integer that is 12173117 that is divisible by both numbers.

Least Common Multiple (LCM) of 3487 and 3491 is 12173117.

LCM(3487,3491) = 12173117

LCM of 3487 and 3491

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 3487 and 3491

LCM of 3487 and 3491 is 12173117

Least common multiple can be found by multiplying the highest exponent prime factors of 3487 and 3491. First we will calculate the prime factors of 3487 and 3491.

Prime Factorization of 3487


11 3487
317 317
1

Prime factors of 3487 are 11,317. Prime factorization of 3487 in exponential form is:

3487 = 111×3171

Prime Factorization of 3491


3491 3491
1

Prime factors of 3491 are 3491. Prime factorization of 3491 in exponential form is:

3491 = 34911

Now multiplying the highest exponent prime factors to calculate the LCM of 3487 and 3491.

LCM(3487,3491) = 111×3171×34911
LCM(3487,3491) = 12173117

Factors of 3487

List of positive integer factors of 3487 that divides 3487 without a remainder.

1, 11, 317, 3487

Factors of 3491

List of positive integer factors of 3491 that divides 3491 without a remainder.

1, 3491

Least Common Multiple of 3487 and 3491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3487 and 3491, than apply into the LCM equation.

GCF(3487,3491) = 1
LCM(3487,3491) = ( 3487 × 3491) / 1
LCM(3487,3491) = 12173117 / 1
LCM(3487,3491) = 12173117

Properties of LCM 3487 and 3491

(i) The LCM of 3491 and 3487 is associative

LCM of 3487 and 3491 = LCM of 3491 and 3487

Related Least Common Multiples of 3487

Related Least Common Multiples of 3491

Frequently Asked Questions on LCM of 3487 and 3491

1. What is the LCM of 3487 and 3491?

Answer: LCM of 3487 and 3491 is 12173117.

2. What are the Factors of 3487?

Answer: Factors of 3487 are 1, 11, 317, 3487. There are 4 integers that are factors of 3487. The greatest factor of 3487 is 3487.

3. What are the Factors of 3491?

Answer: Factors of 3491 are 1, 3491. There are 2 integers that are factors of 3491. The greatest factor of 3491 is 3491.

4. How to Find the LCM of 3487 and 3491?

Answer:

Least Common Multiple of 3487 and 3491 = 12173117

Step 1: Find the prime factorization of 3487

3487 = 11 x 317

Step 2: Find the prime factorization of 3491

3491 = 3491

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 12173117 = 11 x 317 x 3491

Step 4: Therefore, the least common multiple of 3487 and 3491 is 12173117.