Least Common Multiple of 3493 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 3493 and 3497 the smallest integer that is 12215021 that is divisible by both numbers.

Least Common Multiple (LCM) of 3493 and 3497 is 12215021.

LCM(3493,3497) = 12215021

LCM of 3493 and 3497

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

LCM of:
and

Least Common Multiple of 3493 and 3497

LCM of 3493 and 3497 is 12215021

Least common multiple can be found by multiplying the highest exponent prime factors of 3493 and 3497. First we will calculate the prime factors of 3493 and 3497.

Prime Factorization of 3493


7 3493
499 499
1

Prime factors of 3493 are 7,499. Prime factorization of 3493 in exponential form is:

3493 = 71×4991

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 3493 and 3497.

LCM(3493,3497) = 71×131×2691×4991
LCM(3493,3497) = 12215021

Factors of 3493

List of positive integer factors of 3493 that divides 3493 without a remainder.

1, 7, 499, 3493

Factors of 3497

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

1, 13, 269, 3497

Least Common Multiple of 3493 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 3493 and 3497, than apply into the LCM equation.

GCF(3493,3497) = 1
LCM(3493,3497) = ( 3493 × 3497) / 1
LCM(3493,3497) = 12215021 / 1
LCM(3493,3497) = 12215021

Properties of LCM 3493 and 3497

(i) The LCM of 3497 and 3493 is associative

LCM of 3493 and 3497 = LCM of 3497 and 3493

Related Least Common Multiples of 3493

Related Least Common Multiples of 3497

Frequently Asked Questions on LCM of 3493 and 3497

1. What is the LCM of 3493 and 3497?

Answer: LCM of 3493 and 3497 is 12215021.

2. What are the Factors of 3493?

Answer: Factors of 3493 are 1, 7, 499, 3493. There are 4 integers that are factors of 3493. The greatest factor of 3493 is 3493.

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 3493 and 3497?

Answer:

Least Common Multiple of 3493 and 3497 = 12215021

Step 1: Find the prime factorization of 3493

3493 = 7 x 499

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 = 12215021 = 7 x 13 x 269 x 499

Step 4: Therefore, the least common multiple of 3493 and 3497 is 12215021.