Least Common Multiple of 3516 and 3524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3516 and 3524 the smallest integer that is 3097596 that is divisible by both numbers.

Least Common Multiple (LCM) of 3516 and 3524 is 3097596.

LCM(3516,3524) = 3097596

LCM of 3516 and 3524

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

LCM of:
and

Least Common Multiple of 3516 and 3524

LCM of 3516 and 3524 is 3097596

Least common multiple can be found by multiplying the highest exponent prime factors of 3516 and 3524. First we will calculate the prime factors of 3516 and 3524.

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

Prime Factorization of 3524


2 3524
2 1762
881 881
1

Prime factors of 3524 are 2,881. Prime factorization of 3524 in exponential form is:

3524 = 22×8811

Now multiplying the highest exponent prime factors to calculate the LCM of 3516 and 3524.

LCM(3516,3524) = 22×31×2931×8811
LCM(3516,3524) = 3097596

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

Factors of 3524

List of positive integer factors of 3524 that divides 3524 without a remainder.

1, 2, 4, 881, 1762, 3524

Least Common Multiple of 3516 and 3524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3516 and 3524, than apply into the LCM equation.

GCF(3516,3524) = 4
LCM(3516,3524) = ( 3516 × 3524) / 4
LCM(3516,3524) = 12390384 / 4
LCM(3516,3524) = 3097596

Properties of LCM 3516 and 3524

(i) The LCM of 3524 and 3516 is associative

LCM of 3516 and 3524 = LCM of 3524 and 3516

Related Least Common Multiples of 3516

Related Least Common Multiples of 3524

Frequently Asked Questions on LCM of 3516 and 3524

1. What is the LCM of 3516 and 3524?

Answer: LCM of 3516 and 3524 is 3097596.

2. 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.

3. What are the Factors of 3524?

Answer: Factors of 3524 are 1, 2, 4, 881, 1762, 3524. There are 6 integers that are factors of 3524. The greatest factor of 3524 is 3524.

4. How to Find the LCM of 3516 and 3524?

Answer:

Least Common Multiple of 3516 and 3524 = 3097596

Step 1: Find the prime factorization of 3516

3516 = 2 x 2 x 3 x 293

Step 2: Find the prime factorization of 3524

3524 = 2 x 2 x 881

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

LCM = 3097596 = 2 x 2 x 3 x 293 x 881

Step 4: Therefore, the least common multiple of 3516 and 3524 is 3097596.