Least Common Multiple of 3495 and 3500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3495 and 3500 the smallest integer that is 2446500 that is divisible by both numbers.

Least Common Multiple (LCM) of 3495 and 3500 is 2446500.

LCM(3495,3500) = 2446500

LCM of 3495 and 3500

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

LCM of:
and

Least Common Multiple of 3495 and 3500

LCM of 3495 and 3500 is 2446500

Least common multiple can be found by multiplying the highest exponent prime factors of 3495 and 3500. First we will calculate the prime factors of 3495 and 3500.

Prime Factorization of 3495


3 3495
5 1165
233 233
1

Prime factors of 3495 are 3, 5,233. Prime factorization of 3495 in exponential form is:

3495 = 31×51×2331

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3495 and 3500.

LCM(3495,3500) = 22×31×53×71×2331
LCM(3495,3500) = 2446500

Factors of 3495

List of positive integer factors of 3495 that divides 3495 without a remainder.

1, 3, 5, 15, 233, 699, 1165, 3495

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

Least Common Multiple of 3495 and 3500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3495 and 3500, than apply into the LCM equation.

GCF(3495,3500) = 5
LCM(3495,3500) = ( 3495 × 3500) / 5
LCM(3495,3500) = 12232500 / 5
LCM(3495,3500) = 2446500

Properties of LCM 3495 and 3500

(i) The LCM of 3500 and 3495 is associative

LCM of 3495 and 3500 = LCM of 3500 and 3495

Related Least Common Multiples of 3495

Related Least Common Multiples of 3500

Frequently Asked Questions on LCM of 3495 and 3500

1. What is the LCM of 3495 and 3500?

Answer: LCM of 3495 and 3500 is 2446500.

2. What are the Factors of 3495?

Answer: Factors of 3495 are 1, 3, 5, 15, 233, 699, 1165, 3495. There are 8 integers that are factors of 3495. The greatest factor of 3495 is 3495.

3. 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.

4. How to Find the LCM of 3495 and 3500?

Answer:

Least Common Multiple of 3495 and 3500 = 2446500

Step 1: Find the prime factorization of 3495

3495 = 3 x 5 x 233

Step 2: Find the prime factorization of 3500

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

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

LCM = 2446500 = 2 x 2 x 3 x 5 x 5 x 5 x 7 x 233

Step 4: Therefore, the least common multiple of 3495 and 3500 is 2446500.