Least Common Multiple of 3493 and 3500

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 3500 the smallest integer that is 1746500 that is divisible by both numbers.

Least Common Multiple (LCM) of 3493 and 3500 is 1746500.

LCM(3493,3500) = 1746500

LCM of 3493 and 3500

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

LCM of:
and

Least Common Multiple of 3493 and 3500

LCM of 3493 and 3500 is 1746500

Least common multiple can be found by multiplying the highest exponent prime factors of 3493 and 3500. First we will calculate the prime factors of 3493 and 3500.

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 3500


2 3500
2 1750
5 875
5 175
5 35
7 7
1

Prime factors of 3500 are 2, 5,7. Prime factorization of 3500 in exponential form is:

3500 = 22×53×71

Now multiplying the highest exponent prime factors to calculate the LCM of 3493 and 3500.

LCM(3493,3500) = 22×53×71×4991
LCM(3493,3500) = 1746500

Factors of 3493

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

1, 7, 499, 3493

Factors of 3500

List of positive integer factors of 3500 that divides 3500 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 125, 140, 175, 250, 350, 500, 700, 875, 1750, 3500

Least Common Multiple of 3493 and 3500 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 3500, than apply into the LCM equation.

GCF(3493,3500) = 7
LCM(3493,3500) = ( 3493 × 3500) / 7
LCM(3493,3500) = 12225500 / 7
LCM(3493,3500) = 1746500

Properties of LCM 3493 and 3500

(i) The LCM of 3500 and 3493 is associative

LCM of 3493 and 3500 = LCM of 3500 and 3493

Related Least Common Multiples of 3493

Related Least Common Multiples of 3500

Frequently Asked Questions on LCM of 3493 and 3500

1. What is the LCM of 3493 and 3500?

Answer: LCM of 3493 and 3500 is 1746500.

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 3500?

Answer: Factors of 3500 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 125, 140, 175, 250, 350, 500, 700, 875, 1750, 3500. There are 24 integers that are factors of 3500. The greatest factor of 3500 is 3500.

4. How to Find the LCM of 3493 and 3500?

Answer:

Least Common Multiple of 3493 and 3500 = 1746500

Step 1: Find the prime factorization of 3493

3493 = 7 x 499

Step 2: Find the prime factorization of 3500

3500 = 2 x 2 x 5 x 5 x 5 x 7

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

LCM = 1746500 = 2 x 2 x 5 x 5 x 5 x 7 x 499

Step 4: Therefore, the least common multiple of 3493 and 3500 is 1746500.