Least Common Multiple of 3500 and 3502

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 3502 the smallest integer that is 6128500 that is divisible by both numbers.

Least Common Multiple (LCM) of 3500 and 3502 is 6128500.

LCM(3500,3502) = 6128500

LCM of 3500 and 3502

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

LCM of:
and

Least Common Multiple of 3500 and 3502

LCM of 3500 and 3502 is 6128500

Least common multiple can be found by multiplying the highest exponent prime factors of 3500 and 3502. First we will calculate the prime factors of 3500 and 3502.

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 3502


2 3502
17 1751
103 103
1

Prime factors of 3502 are 2, 17,103. Prime factorization of 3502 in exponential form is:

3502 = 21×171×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 3500 and 3502.

LCM(3500,3502) = 22×53×71×171×1031
LCM(3500,3502) = 6128500

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 3502

List of positive integer factors of 3502 that divides 3502 without a remainder.

1, 2, 17, 34, 103, 206, 1751, 3502

Least Common Multiple of 3500 and 3502 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 3502, than apply into the LCM equation.

GCF(3500,3502) = 2
LCM(3500,3502) = ( 3500 × 3502) / 2
LCM(3500,3502) = 12257000 / 2
LCM(3500,3502) = 6128500

Properties of LCM 3500 and 3502

(i) The LCM of 3502 and 3500 is associative

LCM of 3500 and 3502 = LCM of 3502 and 3500

Related Least Common Multiples of 3500

Related Least Common Multiples of 3502

Frequently Asked Questions on LCM of 3500 and 3502

1. What is the LCM of 3500 and 3502?

Answer: LCM of 3500 and 3502 is 6128500.

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 3502?

Answer: Factors of 3502 are 1, 2, 17, 34, 103, 206, 1751, 3502. There are 8 integers that are factors of 3502. The greatest factor of 3502 is 3502.

4. How to Find the LCM of 3500 and 3502?

Answer:

Least Common Multiple of 3500 and 3502 = 6128500

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 3502

3502 = 2 x 17 x 103

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

LCM = 6128500 = 2 x 2 x 5 x 5 x 5 x 7 x 17 x 103

Step 4: Therefore, the least common multiple of 3500 and 3502 is 6128500.