Least Common Multiple of 3513 and 3518

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 3518 the smallest integer that is 12358734 that is divisible by both numbers.

Least Common Multiple (LCM) of 3513 and 3518 is 12358734.

LCM(3513,3518) = 12358734

LCM of 3513 and 3518

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

LCM of:
and

Least Common Multiple of 3513 and 3518

LCM of 3513 and 3518 is 12358734

Least common multiple can be found by multiplying the highest exponent prime factors of 3513 and 3518. First we will calculate the prime factors of 3513 and 3518.

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 3518


2 3518
1759 1759
1

Prime factors of 3518 are 2,1759. Prime factorization of 3518 in exponential form is:

3518 = 21×17591

Now multiplying the highest exponent prime factors to calculate the LCM of 3513 and 3518.

LCM(3513,3518) = 21×31×11711×17591
LCM(3513,3518) = 12358734

Factors of 3513

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

1, 3, 1171, 3513

Factors of 3518

List of positive integer factors of 3518 that divides 3518 without a remainder.

1, 2, 1759, 3518

Least Common Multiple of 3513 and 3518 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 3518, than apply into the LCM equation.

GCF(3513,3518) = 1
LCM(3513,3518) = ( 3513 × 3518) / 1
LCM(3513,3518) = 12358734 / 1
LCM(3513,3518) = 12358734

Properties of LCM 3513 and 3518

(i) The LCM of 3518 and 3513 is associative

LCM of 3513 and 3518 = LCM of 3518 and 3513

Related Least Common Multiples of 3513

Related Least Common Multiples of 3518

Frequently Asked Questions on LCM of 3513 and 3518

1. What is the LCM of 3513 and 3518?

Answer: LCM of 3513 and 3518 is 12358734.

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 3518?

Answer: Factors of 3518 are 1, 2, 1759, 3518. There are 4 integers that are factors of 3518. The greatest factor of 3518 is 3518.

4. How to Find the LCM of 3513 and 3518?

Answer:

Least Common Multiple of 3513 and 3518 = 12358734

Step 1: Find the prime factorization of 3513

3513 = 3 x 1171

Step 2: Find the prime factorization of 3518

3518 = 2 x 1759

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

LCM = 12358734 = 2 x 3 x 1171 x 1759

Step 4: Therefore, the least common multiple of 3513 and 3518 is 12358734.