Least Common Multiple of 3513 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 3513 and 3516 the smallest integer that is 4117236 that is divisible by both numbers.

Least Common Multiple (LCM) of 3513 and 3516 is 4117236.

LCM(3513,3516) = 4117236

LCM of 3513 and 3516

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

LCM of:
and

Least Common Multiple of 3513 and 3516

LCM of 3513 and 3516 is 4117236

Least common multiple can be found by multiplying the highest exponent prime factors of 3513 and 3516. First we will calculate the prime factors of 3513 and 3516.

Prime Factorization of 3513


3 3513
1171 1171
1

Prime factors of 3513 are 3,1171. Prime factorization of 3513 in exponential form is:

3513 = 31×11711

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 3513 and 3516.

LCM(3513,3516) = 22×31×2931×11711
LCM(3513,3516) = 4117236

Factors of 3513

List of positive integer factors of 3513 that divides 3513 without a remainder.

1, 3, 1171, 3513

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 3513 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 3513 and 3516, than apply into the LCM equation.

GCF(3513,3516) = 3
LCM(3513,3516) = ( 3513 × 3516) / 3
LCM(3513,3516) = 12351708 / 3
LCM(3513,3516) = 4117236

Properties of LCM 3513 and 3516

(i) The LCM of 3516 and 3513 is associative

LCM of 3513 and 3516 = LCM of 3516 and 3513

Frequently Asked Questions on LCM of 3513 and 3516

1. What is the LCM of 3513 and 3516?

Answer: LCM of 3513 and 3516 is 4117236.

2. What are the Factors of 3513?

Answer: Factors of 3513 are 1, 3, 1171, 3513. There are 4 integers that are factors of 3513. The greatest factor of 3513 is 3513.

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 3513 and 3516?

Answer:

Least Common Multiple of 3513 and 3516 = 4117236

Step 1: Find the prime factorization of 3513

3513 = 3 x 1171

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 = 4117236 = 2 x 2 x 3 x 293 x 1171

Step 4: Therefore, the least common multiple of 3513 and 3516 is 4117236.