Least Common Multiple of 3508 and 3515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3508 and 3515 the smallest integer that is 12330620 that is divisible by both numbers.

Least Common Multiple (LCM) of 3508 and 3515 is 12330620.

LCM(3508,3515) = 12330620

LCM of 3508 and 3515

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

LCM of:
and

Least Common Multiple of 3508 and 3515

LCM of 3508 and 3515 is 12330620

Least common multiple can be found by multiplying the highest exponent prime factors of 3508 and 3515. First we will calculate the prime factors of 3508 and 3515.

Prime Factorization of 3508


2 3508
2 1754
877 877
1

Prime factors of 3508 are 2,877. Prime factorization of 3508 in exponential form is:

3508 = 22×8771

Prime Factorization of 3515


5 3515
19 703
37 37
1

Prime factors of 3515 are 5, 19,37. Prime factorization of 3515 in exponential form is:

3515 = 51×191×371

Now multiplying the highest exponent prime factors to calculate the LCM of 3508 and 3515.

LCM(3508,3515) = 22×51×191×371×8771
LCM(3508,3515) = 12330620

Factors of 3508

List of positive integer factors of 3508 that divides 3508 without a remainder.

1, 2, 4, 877, 1754, 3508

Factors of 3515

List of positive integer factors of 3515 that divides 3515 without a remainder.

1, 5, 19, 37, 95, 185, 703, 3515

Least Common Multiple of 3508 and 3515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3508 and 3515, than apply into the LCM equation.

GCF(3508,3515) = 1
LCM(3508,3515) = ( 3508 × 3515) / 1
LCM(3508,3515) = 12330620 / 1
LCM(3508,3515) = 12330620

Properties of LCM 3508 and 3515

(i) The LCM of 3515 and 3508 is associative

LCM of 3508 and 3515 = LCM of 3515 and 3508

Related Least Common Multiples of 3508

Related Least Common Multiples of 3515

Frequently Asked Questions on LCM of 3508 and 3515

1. What is the LCM of 3508 and 3515?

Answer: LCM of 3508 and 3515 is 12330620.

2. What are the Factors of 3508?

Answer: Factors of 3508 are 1, 2, 4, 877, 1754, 3508. There are 6 integers that are factors of 3508. The greatest factor of 3508 is 3508.

3. What are the Factors of 3515?

Answer: Factors of 3515 are 1, 5, 19, 37, 95, 185, 703, 3515. There are 8 integers that are factors of 3515. The greatest factor of 3515 is 3515.

4. How to Find the LCM of 3508 and 3515?

Answer:

Least Common Multiple of 3508 and 3515 = 12330620

Step 1: Find the prime factorization of 3508

3508 = 2 x 2 x 877

Step 2: Find the prime factorization of 3515

3515 = 5 x 19 x 37

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

LCM = 12330620 = 2 x 2 x 5 x 19 x 37 x 877

Step 4: Therefore, the least common multiple of 3508 and 3515 is 12330620.