Least Common Multiple of 3512 and 3516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3512 and 3516 the smallest integer that is 3087048 that is divisible by both numbers.

Least Common Multiple (LCM) of 3512 and 3516 is 3087048.

LCM(3512,3516) = 3087048

LCM of 3512 and 3516

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

LCM of:
and

Least Common Multiple of 3512 and 3516

LCM of 3512 and 3516 is 3087048

Least common multiple can be found by multiplying the highest exponent prime factors of 3512 and 3516. First we will calculate the prime factors of 3512 and 3516.

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

Prime Factorization of 3516


2 3516
2 1758
3 879
293 293
1

Prime factors of 3516 are 2, 3,293. Prime factorization of 3516 in exponential form is:

3516 = 22×31×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 3512 and 3516.

LCM(3512,3516) = 23×31×2931×4391
LCM(3512,3516) = 3087048

Factors of 3512

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

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

Factors of 3516

List of positive integer factors of 3516 that divides 3516 without a remainder.

1, 2, 3, 4, 6, 12, 293, 586, 879, 1172, 1758, 3516

Least Common Multiple of 3512 and 3516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3512 and 3516, than apply into the LCM equation.

GCF(3512,3516) = 4
LCM(3512,3516) = ( 3512 × 3516) / 4
LCM(3512,3516) = 12348192 / 4
LCM(3512,3516) = 3087048

Properties of LCM 3512 and 3516

(i) The LCM of 3516 and 3512 is associative

LCM of 3512 and 3516 = LCM of 3516 and 3512

Related Least Common Multiples of 3512

Related Least Common Multiples of 3516

Frequently Asked Questions on LCM of 3512 and 3516

1. What is the LCM of 3512 and 3516?

Answer: LCM of 3512 and 3516 is 3087048.

2. 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.

3. What are the Factors of 3516?

Answer: Factors of 3516 are 1, 2, 3, 4, 6, 12, 293, 586, 879, 1172, 1758, 3516. There are 12 integers that are factors of 3516. The greatest factor of 3516 is 3516.

4. How to Find the LCM of 3512 and 3516?

Answer:

Least Common Multiple of 3512 and 3516 = 3087048

Step 1: Find the prime factorization of 3512

3512 = 2 x 2 x 2 x 439

Step 2: Find the prime factorization of 3516

3516 = 2 x 2 x 3 x 293

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

LCM = 3087048 = 2 x 2 x 2 x 3 x 293 x 439

Step 4: Therefore, the least common multiple of 3512 and 3516 is 3087048.