Least Common Multiple of 3506 and 3512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3506 and 3512 the smallest integer that is 6156536 that is divisible by both numbers.

Least Common Multiple (LCM) of 3506 and 3512 is 6156536.

LCM(3506,3512) = 6156536

LCM of 3506 and 3512

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

LCM of:
and

Least Common Multiple of 3506 and 3512

LCM of 3506 and 3512 is 6156536

Least common multiple can be found by multiplying the highest exponent prime factors of 3506 and 3512. First we will calculate the prime factors of 3506 and 3512.

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

Prime Factorization of 3512


2 3512
2 1756
2 878
439 439
1

Prime factors of 3512 are 2,439. Prime factorization of 3512 in exponential form is:

3512 = 23×4391

Now multiplying the highest exponent prime factors to calculate the LCM of 3506 and 3512.

LCM(3506,3512) = 23×4391×17531
LCM(3506,3512) = 6156536

Factors of 3506

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

1, 2, 1753, 3506

Factors of 3512

List of positive integer factors of 3512 that divides 3512 without a remainder.

1, 2, 4, 8, 439, 878, 1756, 3512

Least Common Multiple of 3506 and 3512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3506 and 3512, than apply into the LCM equation.

GCF(3506,3512) = 2
LCM(3506,3512) = ( 3506 × 3512) / 2
LCM(3506,3512) = 12313072 / 2
LCM(3506,3512) = 6156536

Properties of LCM 3506 and 3512

(i) The LCM of 3512 and 3506 is associative

LCM of 3506 and 3512 = LCM of 3512 and 3506

Related Least Common Multiples of 3506

Related Least Common Multiples of 3512

Frequently Asked Questions on LCM of 3506 and 3512

1. What is the LCM of 3506 and 3512?

Answer: LCM of 3506 and 3512 is 6156536.

2. 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.

3. What are the Factors of 3512?

Answer: Factors of 3512 are 1, 2, 4, 8, 439, 878, 1756, 3512. There are 8 integers that are factors of 3512. The greatest factor of 3512 is 3512.

4. How to Find the LCM of 3506 and 3512?

Answer:

Least Common Multiple of 3506 and 3512 = 6156536

Step 1: Find the prime factorization of 3506

3506 = 2 x 1753

Step 2: Find the prime factorization of 3512

3512 = 2 x 2 x 2 x 439

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

LCM = 6156536 = 2 x 2 x 2 x 439 x 1753

Step 4: Therefore, the least common multiple of 3506 and 3512 is 6156536.