Least Common Multiple of 3491 and 3497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3491 and 3497 the smallest integer that is 12208027 that is divisible by both numbers.

Least Common Multiple (LCM) of 3491 and 3497 is 12208027.

LCM(3491,3497) = 12208027

LCM of 3491 and 3497

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

LCM of:
and

Least Common Multiple of 3491 and 3497

LCM of 3491 and 3497 is 12208027

Least common multiple can be found by multiplying the highest exponent prime factors of 3491 and 3497. First we will calculate the prime factors of 3491 and 3497.

Prime Factorization of 3491


3491 3491
1

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

3491 = 34911

Prime Factorization of 3497


13 3497
269 269
1

Prime factors of 3497 are 13,269. Prime factorization of 3497 in exponential form is:

3497 = 131×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 3491 and 3497.

LCM(3491,3497) = 131×2691×34911
LCM(3491,3497) = 12208027

Factors of 3491

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

1, 3491

Factors of 3497

List of positive integer factors of 3497 that divides 3497 without a remainder.

1, 13, 269, 3497

Least Common Multiple of 3491 and 3497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3491 and 3497, than apply into the LCM equation.

GCF(3491,3497) = 1
LCM(3491,3497) = ( 3491 × 3497) / 1
LCM(3491,3497) = 12208027 / 1
LCM(3491,3497) = 12208027

Properties of LCM 3491 and 3497

(i) The LCM of 3497 and 3491 is associative

LCM of 3491 and 3497 = LCM of 3497 and 3491

Related Least Common Multiples of 3491

Related Least Common Multiples of 3497

Frequently Asked Questions on LCM of 3491 and 3497

1. What is the LCM of 3491 and 3497?

Answer: LCM of 3491 and 3497 is 12208027.

2. 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.

3. What are the Factors of 3497?

Answer: Factors of 3497 are 1, 13, 269, 3497. There are 4 integers that are factors of 3497. The greatest factor of 3497 is 3497.

4. How to Find the LCM of 3491 and 3497?

Answer:

Least Common Multiple of 3491 and 3497 = 12208027

Step 1: Find the prime factorization of 3491

3491 = 3491

Step 2: Find the prime factorization of 3497

3497 = 13 x 269

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

LCM = 12208027 = 13 x 269 x 3491

Step 4: Therefore, the least common multiple of 3491 and 3497 is 12208027.