Least Common Multiple of 3518 and 3525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3518 and 3525 the smallest integer that is 12400950 that is divisible by both numbers.

Least Common Multiple (LCM) of 3518 and 3525 is 12400950.

LCM(3518,3525) = 12400950

LCM of 3518 and 3525

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

LCM of:
and

Least Common Multiple of 3518 and 3525

LCM of 3518 and 3525 is 12400950

Least common multiple can be found by multiplying the highest exponent prime factors of 3518 and 3525. First we will calculate the prime factors of 3518 and 3525.

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

Prime Factorization of 3525


3 3525
5 1175
5 235
47 47
1

Prime factors of 3525 are 3, 5,47. Prime factorization of 3525 in exponential form is:

3525 = 31×52×471

Now multiplying the highest exponent prime factors to calculate the LCM of 3518 and 3525.

LCM(3518,3525) = 21×31×52×471×17591
LCM(3518,3525) = 12400950

Factors of 3518

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

1, 2, 1759, 3518

Factors of 3525

List of positive integer factors of 3525 that divides 3525 without a remainder.

1, 3, 5, 15, 25, 47, 75, 141, 235, 705, 1175, 3525

Least Common Multiple of 3518 and 3525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3518 and 3525, than apply into the LCM equation.

GCF(3518,3525) = 1
LCM(3518,3525) = ( 3518 × 3525) / 1
LCM(3518,3525) = 12400950 / 1
LCM(3518,3525) = 12400950

Properties of LCM 3518 and 3525

(i) The LCM of 3525 and 3518 is associative

LCM of 3518 and 3525 = LCM of 3525 and 3518

Related Least Common Multiples of 3518

Related Least Common Multiples of 3525

Frequently Asked Questions on LCM of 3518 and 3525

1. What is the LCM of 3518 and 3525?

Answer: LCM of 3518 and 3525 is 12400950.

2. 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.

3. What are the Factors of 3525?

Answer: Factors of 3525 are 1, 3, 5, 15, 25, 47, 75, 141, 235, 705, 1175, 3525. There are 12 integers that are factors of 3525. The greatest factor of 3525 is 3525.

4. How to Find the LCM of 3518 and 3525?

Answer:

Least Common Multiple of 3518 and 3525 = 12400950

Step 1: Find the prime factorization of 3518

3518 = 2 x 1759

Step 2: Find the prime factorization of 3525

3525 = 3 x 5 x 5 x 47

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

LCM = 12400950 = 2 x 3 x 5 x 5 x 47 x 1759

Step 4: Therefore, the least common multiple of 3518 and 3525 is 12400950.