Least Common Multiple of 3513 and 3514

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 3514 the smallest integer that is 12344682 that is divisible by both numbers.

Least Common Multiple (LCM) of 3513 and 3514 is 12344682.

LCM(3513,3514) = 12344682

LCM of 3513 and 3514

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

LCM of:
and

Least Common Multiple of 3513 and 3514

LCM of 3513 and 3514 is 12344682

Least common multiple can be found by multiplying the highest exponent prime factors of 3513 and 3514. First we will calculate the prime factors of 3513 and 3514.

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 3514


2 3514
7 1757
251 251
1

Prime factors of 3514 are 2, 7,251. Prime factorization of 3514 in exponential form is:

3514 = 21×71×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 3513 and 3514.

LCM(3513,3514) = 21×31×71×2511×11711
LCM(3513,3514) = 12344682

Factors of 3513

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

1, 3, 1171, 3513

Factors of 3514

List of positive integer factors of 3514 that divides 3514 without a remainder.

1, 2, 7, 14, 251, 502, 1757, 3514

Least Common Multiple of 3513 and 3514 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 3514, than apply into the LCM equation.

GCF(3513,3514) = 1
LCM(3513,3514) = ( 3513 × 3514) / 1
LCM(3513,3514) = 12344682 / 1
LCM(3513,3514) = 12344682

Properties of LCM 3513 and 3514

(i) The LCM of 3514 and 3513 is associative

LCM of 3513 and 3514 = LCM of 3514 and 3513

Related Least Common Multiples of 3513

Related Least Common Multiples of 3514

Frequently Asked Questions on LCM of 3513 and 3514

1. What is the LCM of 3513 and 3514?

Answer: LCM of 3513 and 3514 is 12344682.

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 3514?

Answer: Factors of 3514 are 1, 2, 7, 14, 251, 502, 1757, 3514. There are 8 integers that are factors of 3514. The greatest factor of 3514 is 3514.

4. How to Find the LCM of 3513 and 3514?

Answer:

Least Common Multiple of 3513 and 3514 = 12344682

Step 1: Find the prime factorization of 3513

3513 = 3 x 1171

Step 2: Find the prime factorization of 3514

3514 = 2 x 7 x 251

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

LCM = 12344682 = 2 x 3 x 7 x 251 x 1171

Step 4: Therefore, the least common multiple of 3513 and 3514 is 12344682.