Least Common Multiple of 6508 and 6515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6508 and 6515 the smallest integer that is 42399620 that is divisible by both numbers.

Least Common Multiple (LCM) of 6508 and 6515 is 42399620.

LCM(6508,6515) = 42399620

LCM of 6508 and 6515

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

LCM of:
and

Least Common Multiple of 6508 and 6515

LCM of 6508 and 6515 is 42399620

Least common multiple can be found by multiplying the highest exponent prime factors of 6508 and 6515. First we will calculate the prime factors of 6508 and 6515.

Prime Factorization of 6508


2 6508
2 3254
1627 1627
1

Prime factors of 6508 are 2,1627. Prime factorization of 6508 in exponential form is:

6508 = 22×16271

Prime Factorization of 6515


5 6515
1303 1303
1

Prime factors of 6515 are 5,1303. Prime factorization of 6515 in exponential form is:

6515 = 51×13031

Now multiplying the highest exponent prime factors to calculate the LCM of 6508 and 6515.

LCM(6508,6515) = 22×51×13031×16271
LCM(6508,6515) = 42399620

Factors of 6508

List of positive integer factors of 6508 that divides 6508 without a remainder.

1, 2, 4, 1627, 3254, 6508

Factors of 6515

List of positive integer factors of 6515 that divides 6515 without a remainder.

1, 5, 1303, 6515

Least Common Multiple of 6508 and 6515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6508 and 6515, than apply into the LCM equation.

GCF(6508,6515) = 1
LCM(6508,6515) = ( 6508 × 6515) / 1
LCM(6508,6515) = 42399620 / 1
LCM(6508,6515) = 42399620

Properties of LCM 6508 and 6515

(i) The LCM of 6515 and 6508 is associative

LCM of 6508 and 6515 = LCM of 6515 and 6508

Related Least Common Multiples of 6508

Related Least Common Multiples of 6515

Frequently Asked Questions on LCM of 6508 and 6515

1. What is the LCM of 6508 and 6515?

Answer: LCM of 6508 and 6515 is 42399620.

2. What are the Factors of 6508?

Answer: Factors of 6508 are 1, 2, 4, 1627, 3254, 6508. There are 6 integers that are factors of 6508. The greatest factor of 6508 is 6508.

3. What are the Factors of 6515?

Answer: Factors of 6515 are 1, 5, 1303, 6515. There are 4 integers that are factors of 6515. The greatest factor of 6515 is 6515.

4. How to Find the LCM of 6508 and 6515?

Answer:

Least Common Multiple of 6508 and 6515 = 42399620

Step 1: Find the prime factorization of 6508

6508 = 2 x 2 x 1627

Step 2: Find the prime factorization of 6515

6515 = 5 x 1303

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

LCM = 42399620 = 2 x 2 x 5 x 1303 x 1627

Step 4: Therefore, the least common multiple of 6508 and 6515 is 42399620.