Least Common Multiple of 3512 and 3517

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 3517 the smallest integer that is 12351704 that is divisible by both numbers.

Least Common Multiple (LCM) of 3512 and 3517 is 12351704.

LCM(3512,3517) = 12351704

LCM of 3512 and 3517

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

LCM of:
and

Least Common Multiple of 3512 and 3517

LCM of 3512 and 3517 is 12351704

Least common multiple can be found by multiplying the highest exponent prime factors of 3512 and 3517. First we will calculate the prime factors of 3512 and 3517.

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 3517


3517 3517
1

Prime factors of 3517 are 3517. Prime factorization of 3517 in exponential form is:

3517 = 35171

Now multiplying the highest exponent prime factors to calculate the LCM of 3512 and 3517.

LCM(3512,3517) = 23×4391×35171
LCM(3512,3517) = 12351704

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 3517

List of positive integer factors of 3517 that divides 3517 without a remainder.

1, 3517

Least Common Multiple of 3512 and 3517 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 3517, than apply into the LCM equation.

GCF(3512,3517) = 1
LCM(3512,3517) = ( 3512 × 3517) / 1
LCM(3512,3517) = 12351704 / 1
LCM(3512,3517) = 12351704

Properties of LCM 3512 and 3517

(i) The LCM of 3517 and 3512 is associative

LCM of 3512 and 3517 = LCM of 3517 and 3512

Related Least Common Multiples of 3512

Related Least Common Multiples of 3517

Frequently Asked Questions on LCM of 3512 and 3517

1. What is the LCM of 3512 and 3517?

Answer: LCM of 3512 and 3517 is 12351704.

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 3517?

Answer: Factors of 3517 are 1, 3517. There are 2 integers that are factors of 3517. The greatest factor of 3517 is 3517.

4. How to Find the LCM of 3512 and 3517?

Answer:

Least Common Multiple of 3512 and 3517 = 12351704

Step 1: Find the prime factorization of 3512

3512 = 2 x 2 x 2 x 439

Step 2: Find the prime factorization of 3517

3517 = 3517

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

LCM = 12351704 = 2 x 2 x 2 x 439 x 3517

Step 4: Therefore, the least common multiple of 3512 and 3517 is 12351704.