Least Common Multiple of 3501 and 3506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3501 and 3506 the smallest integer that is 12274506 that is divisible by both numbers.

Least Common Multiple (LCM) of 3501 and 3506 is 12274506.

LCM(3501,3506) = 12274506

LCM of 3501 and 3506

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

LCM of:
and

Least Common Multiple of 3501 and 3506

LCM of 3501 and 3506 is 12274506

Least common multiple can be found by multiplying the highest exponent prime factors of 3501 and 3506. First we will calculate the prime factors of 3501 and 3506.

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

Prime Factorization of 3506


2 3506
1753 1753
1

Prime factors of 3506 are 2,1753. Prime factorization of 3506 in exponential form is:

3506 = 21×17531

Now multiplying the highest exponent prime factors to calculate the LCM of 3501 and 3506.

LCM(3501,3506) = 21×32×3891×17531
LCM(3501,3506) = 12274506

Factors of 3501

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

1, 3, 9, 389, 1167, 3501

Factors of 3506

List of positive integer factors of 3506 that divides 3506 without a remainder.

1, 2, 1753, 3506

Least Common Multiple of 3501 and 3506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3501 and 3506, than apply into the LCM equation.

GCF(3501,3506) = 1
LCM(3501,3506) = ( 3501 × 3506) / 1
LCM(3501,3506) = 12274506 / 1
LCM(3501,3506) = 12274506

Properties of LCM 3501 and 3506

(i) The LCM of 3506 and 3501 is associative

LCM of 3501 and 3506 = LCM of 3506 and 3501

Related Least Common Multiples of 3501

Related Least Common Multiples of 3506

Frequently Asked Questions on LCM of 3501 and 3506

1. What is the LCM of 3501 and 3506?

Answer: LCM of 3501 and 3506 is 12274506.

2. 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.

3. What are the Factors of 3506?

Answer: Factors of 3506 are 1, 2, 1753, 3506. There are 4 integers that are factors of 3506. The greatest factor of 3506 is 3506.

4. How to Find the LCM of 3501 and 3506?

Answer:

Least Common Multiple of 3501 and 3506 = 12274506

Step 1: Find the prime factorization of 3501

3501 = 3 x 3 x 389

Step 2: Find the prime factorization of 3506

3506 = 2 x 1753

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

LCM = 12274506 = 2 x 3 x 3 x 389 x 1753

Step 4: Therefore, the least common multiple of 3501 and 3506 is 12274506.