Least Common Multiple of 3500 and 3505

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 3505 the smallest integer that is 2453500 that is divisible by both numbers.

Least Common Multiple (LCM) of 3500 and 3505 is 2453500.

LCM(3500,3505) = 2453500

LCM of 3500 and 3505

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

LCM of:
and

Least Common Multiple of 3500 and 3505

LCM of 3500 and 3505 is 2453500

Least common multiple can be found by multiplying the highest exponent prime factors of 3500 and 3505. First we will calculate the prime factors of 3500 and 3505.

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 3505


5 3505
701 701
1

Prime factors of 3505 are 5,701. Prime factorization of 3505 in exponential form is:

3505 = 51×7011

Now multiplying the highest exponent prime factors to calculate the LCM of 3500 and 3505.

LCM(3500,3505) = 22×53×71×7011
LCM(3500,3505) = 2453500

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 3505

List of positive integer factors of 3505 that divides 3505 without a remainder.

1, 5, 701, 3505

Least Common Multiple of 3500 and 3505 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 3505, than apply into the LCM equation.

GCF(3500,3505) = 5
LCM(3500,3505) = ( 3500 × 3505) / 5
LCM(3500,3505) = 12267500 / 5
LCM(3500,3505) = 2453500

Properties of LCM 3500 and 3505

(i) The LCM of 3505 and 3500 is associative

LCM of 3500 and 3505 = LCM of 3505 and 3500

Related Least Common Multiples of 3500

Related Least Common Multiples of 3505

Frequently Asked Questions on LCM of 3500 and 3505

1. What is the LCM of 3500 and 3505?

Answer: LCM of 3500 and 3505 is 2453500.

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 3505?

Answer: Factors of 3505 are 1, 5, 701, 3505. There are 4 integers that are factors of 3505. The greatest factor of 3505 is 3505.

4. How to Find the LCM of 3500 and 3505?

Answer:

Least Common Multiple of 3500 and 3505 = 2453500

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 3505

3505 = 5 x 701

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

LCM = 2453500 = 2 x 2 x 5 x 5 x 5 x 7 x 701

Step 4: Therefore, the least common multiple of 3500 and 3505 is 2453500.