Least Common Multiple of 3492 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 3492 and 3500 the smallest integer that is 3055500 that is divisible by both numbers.

Least Common Multiple (LCM) of 3492 and 3500 is 3055500.

LCM(3492,3500) = 3055500

LCM of 3492 and 3500

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

LCM of:
and

Least Common Multiple of 3492 and 3500

LCM of 3492 and 3500 is 3055500

Least common multiple can be found by multiplying the highest exponent prime factors of 3492 and 3500. First we will calculate the prime factors of 3492 and 3500.

Prime Factorization of 3492


2 3492
2 1746
3 873
3 291
97 97
1

Prime factors of 3492 are 2, 3,97. Prime factorization of 3492 in exponential form is:

3492 = 22×32×971

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 3492 and 3500.

LCM(3492,3500) = 22×32×53×71×971
LCM(3492,3500) = 3055500

Factors of 3492

List of positive integer factors of 3492 that divides 3492 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 97, 194, 291, 388, 582, 873, 1164, 1746, 3492

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 3492 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 3492 and 3500, than apply into the LCM equation.

GCF(3492,3500) = 4
LCM(3492,3500) = ( 3492 × 3500) / 4
LCM(3492,3500) = 12222000 / 4
LCM(3492,3500) = 3055500

Properties of LCM 3492 and 3500

(i) The LCM of 3500 and 3492 is associative

LCM of 3492 and 3500 = LCM of 3500 and 3492

Related Least Common Multiples of 3492

Related Least Common Multiples of 3500

Frequently Asked Questions on LCM of 3492 and 3500

1. What is the LCM of 3492 and 3500?

Answer: LCM of 3492 and 3500 is 3055500.

2. What are the Factors of 3492?

Answer: Factors of 3492 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 97, 194, 291, 388, 582, 873, 1164, 1746, 3492. There are 18 integers that are factors of 3492. The greatest factor of 3492 is 3492.

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 3492 and 3500?

Answer:

Least Common Multiple of 3492 and 3500 = 3055500

Step 1: Find the prime factorization of 3492

3492 = 2 x 2 x 3 x 3 x 97

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 = 3055500 = 2 x 2 x 3 x 3 x 5 x 5 x 5 x 7 x 97

Step 4: Therefore, the least common multiple of 3492 and 3500 is 3055500.