Least Common Multiple of 3500 and 3501

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 3501 the smallest integer that is 12253500 that is divisible by both numbers.

Least Common Multiple (LCM) of 3500 and 3501 is 12253500.

LCM(3500,3501) = 12253500

LCM of 3500 and 3501

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

LCM of:
and

Least Common Multiple of 3500 and 3501

LCM of 3500 and 3501 is 12253500

Least common multiple can be found by multiplying the highest exponent prime factors of 3500 and 3501. First we will calculate the prime factors of 3500 and 3501.

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 3501


3 3501
3 1167
389 389
1

Prime factors of 3501 are 3,389. Prime factorization of 3501 in exponential form is:

3501 = 32×3891

Now multiplying the highest exponent prime factors to calculate the LCM of 3500 and 3501.

LCM(3500,3501) = 22×32×53×71×3891
LCM(3500,3501) = 12253500

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 3501

List of positive integer factors of 3501 that divides 3501 without a remainder.

1, 3, 9, 389, 1167, 3501

Least Common Multiple of 3500 and 3501 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 3501, than apply into the LCM equation.

GCF(3500,3501) = 1
LCM(3500,3501) = ( 3500 × 3501) / 1
LCM(3500,3501) = 12253500 / 1
LCM(3500,3501) = 12253500

Properties of LCM 3500 and 3501

(i) The LCM of 3501 and 3500 is associative

LCM of 3500 and 3501 = LCM of 3501 and 3500

Related Least Common Multiples of 3500

Related Least Common Multiples of 3501

Frequently Asked Questions on LCM of 3500 and 3501

1. What is the LCM of 3500 and 3501?

Answer: LCM of 3500 and 3501 is 12253500.

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 3501?

Answer: Factors of 3501 are 1, 3, 9, 389, 1167, 3501. There are 6 integers that are factors of 3501. The greatest factor of 3501 is 3501.

4. How to Find the LCM of 3500 and 3501?

Answer:

Least Common Multiple of 3500 and 3501 = 12253500

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 3501

3501 = 3 x 3 x 389

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

LCM = 12253500 = 2 x 2 x 3 x 3 x 5 x 5 x 5 x 7 x 389

Step 4: Therefore, the least common multiple of 3500 and 3501 is 12253500.