Least Common Multiple of 3500 and 3503

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 3503 the smallest integer that is 12260500 that is divisible by both numbers.

Least Common Multiple (LCM) of 3500 and 3503 is 12260500.

LCM(3500,3503) = 12260500

LCM of 3500 and 3503

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

LCM of:
and

Least Common Multiple of 3500 and 3503

LCM of 3500 and 3503 is 12260500

Least common multiple can be found by multiplying the highest exponent prime factors of 3500 and 3503. First we will calculate the prime factors of 3500 and 3503.

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 3503


31 3503
113 113
1

Prime factors of 3503 are 31,113. Prime factorization of 3503 in exponential form is:

3503 = 311×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 3500 and 3503.

LCM(3500,3503) = 22×53×71×311×1131
LCM(3500,3503) = 12260500

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 3503

List of positive integer factors of 3503 that divides 3503 without a remainder.

1, 31, 113, 3503

Least Common Multiple of 3500 and 3503 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 3503, than apply into the LCM equation.

GCF(3500,3503) = 1
LCM(3500,3503) = ( 3500 × 3503) / 1
LCM(3500,3503) = 12260500 / 1
LCM(3500,3503) = 12260500

Properties of LCM 3500 and 3503

(i) The LCM of 3503 and 3500 is associative

LCM of 3500 and 3503 = LCM of 3503 and 3500

Related Least Common Multiples of 3500

Related Least Common Multiples of 3503

Frequently Asked Questions on LCM of 3500 and 3503

1. What is the LCM of 3500 and 3503?

Answer: LCM of 3500 and 3503 is 12260500.

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 3503?

Answer: Factors of 3503 are 1, 31, 113, 3503. There are 4 integers that are factors of 3503. The greatest factor of 3503 is 3503.

4. How to Find the LCM of 3500 and 3503?

Answer:

Least Common Multiple of 3500 and 3503 = 12260500

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 3503

3503 = 31 x 113

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

LCM = 12260500 = 2 x 2 x 5 x 5 x 5 x 7 x 31 x 113

Step 4: Therefore, the least common multiple of 3500 and 3503 is 12260500.