Least Common Multiple of 3494 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 3494 and 3500 the smallest integer that is 6114500 that is divisible by both numbers.

Least Common Multiple (LCM) of 3494 and 3500 is 6114500.

LCM(3494,3500) = 6114500

LCM of 3494 and 3500

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

LCM of:
and

Least Common Multiple of 3494 and 3500

LCM of 3494 and 3500 is 6114500

Least common multiple can be found by multiplying the highest exponent prime factors of 3494 and 3500. First we will calculate the prime factors of 3494 and 3500.

Prime Factorization of 3494


2 3494
1747 1747
1

Prime factors of 3494 are 2,1747. Prime factorization of 3494 in exponential form is:

3494 = 21×17471

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 3494 and 3500.

LCM(3494,3500) = 22×53×71×17471
LCM(3494,3500) = 6114500

Factors of 3494

List of positive integer factors of 3494 that divides 3494 without a remainder.

1, 2, 1747, 3494

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 3494 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 3494 and 3500, than apply into the LCM equation.

GCF(3494,3500) = 2
LCM(3494,3500) = ( 3494 × 3500) / 2
LCM(3494,3500) = 12229000 / 2
LCM(3494,3500) = 6114500

Properties of LCM 3494 and 3500

(i) The LCM of 3500 and 3494 is associative

LCM of 3494 and 3500 = LCM of 3500 and 3494

Related Least Common Multiples of 3494

Related Least Common Multiples of 3500

Frequently Asked Questions on LCM of 3494 and 3500

1. What is the LCM of 3494 and 3500?

Answer: LCM of 3494 and 3500 is 6114500.

2. What are the Factors of 3494?

Answer: Factors of 3494 are 1, 2, 1747, 3494. There are 4 integers that are factors of 3494. The greatest factor of 3494 is 3494.

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 3494 and 3500?

Answer:

Least Common Multiple of 3494 and 3500 = 6114500

Step 1: Find the prime factorization of 3494

3494 = 2 x 1747

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 = 6114500 = 2 x 2 x 5 x 5 x 5 x 7 x 1747

Step 4: Therefore, the least common multiple of 3494 and 3500 is 6114500.