Least Common Multiple of 3500 and 3508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3500 and 3508 the smallest integer that is 3069500 that is divisible by both numbers.

Least Common Multiple (LCM) of 3500 and 3508 is 3069500.

LCM(3500,3508) = 3069500

LCM of 3500 and 3508

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

LCM of:
and

Least Common Multiple of 3500 and 3508

LCM of 3500 and 3508 is 3069500

Least common multiple can be found by multiplying the highest exponent prime factors of 3500 and 3508. First we will calculate the prime factors of 3500 and 3508.

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

Prime Factorization of 3508


2 3508
2 1754
877 877
1

Prime factors of 3508 are 2,877. Prime factorization of 3508 in exponential form is:

3508 = 22×8771

Now multiplying the highest exponent prime factors to calculate the LCM of 3500 and 3508.

LCM(3500,3508) = 22×53×71×8771
LCM(3500,3508) = 3069500

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

Factors of 3508

List of positive integer factors of 3508 that divides 3508 without a remainder.

1, 2, 4, 877, 1754, 3508

Least Common Multiple of 3500 and 3508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3500 and 3508, than apply into the LCM equation.

GCF(3500,3508) = 4
LCM(3500,3508) = ( 3500 × 3508) / 4
LCM(3500,3508) = 12278000 / 4
LCM(3500,3508) = 3069500

Properties of LCM 3500 and 3508

(i) The LCM of 3508 and 3500 is associative

LCM of 3500 and 3508 = LCM of 3508 and 3500

Related Least Common Multiples of 3500

Related Least Common Multiples of 3508

Frequently Asked Questions on LCM of 3500 and 3508

1. What is the LCM of 3500 and 3508?

Answer: LCM of 3500 and 3508 is 3069500.

2. 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.

3. What are the Factors of 3508?

Answer: Factors of 3508 are 1, 2, 4, 877, 1754, 3508. There are 6 integers that are factors of 3508. The greatest factor of 3508 is 3508.

4. How to Find the LCM of 3500 and 3508?

Answer:

Least Common Multiple of 3500 and 3508 = 3069500

Step 1: Find the prime factorization of 3500

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

Step 2: Find the prime factorization of 3508

3508 = 2 x 2 x 877

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

LCM = 3069500 = 2 x 2 x 5 x 5 x 5 x 7 x 877

Step 4: Therefore, the least common multiple of 3500 and 3508 is 3069500.