Least Common Multiple of 6508 and 6514

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 6514 the smallest integer that is 21196556 that is divisible by both numbers.

Least Common Multiple (LCM) of 6508 and 6514 is 21196556.

LCM(6508,6514) = 21196556

LCM of 6508 and 6514

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

LCM of:
and

Least Common Multiple of 6508 and 6514

LCM of 6508 and 6514 is 21196556

Least common multiple can be found by multiplying the highest exponent prime factors of 6508 and 6514. First we will calculate the prime factors of 6508 and 6514.

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 6514


2 6514
3257 3257
1

Prime factors of 6514 are 2,3257. Prime factorization of 6514 in exponential form is:

6514 = 21×32571

Now multiplying the highest exponent prime factors to calculate the LCM of 6508 and 6514.

LCM(6508,6514) = 22×16271×32571
LCM(6508,6514) = 21196556

Factors of 6508

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

1, 2, 4, 1627, 3254, 6508

Factors of 6514

List of positive integer factors of 6514 that divides 6514 without a remainder.

1, 2, 3257, 6514

Least Common Multiple of 6508 and 6514 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 6514, than apply into the LCM equation.

GCF(6508,6514) = 2
LCM(6508,6514) = ( 6508 × 6514) / 2
LCM(6508,6514) = 42393112 / 2
LCM(6508,6514) = 21196556

Properties of LCM 6508 and 6514

(i) The LCM of 6514 and 6508 is associative

LCM of 6508 and 6514 = LCM of 6514 and 6508

Related Least Common Multiples of 6508

Related Least Common Multiples of 6514

Frequently Asked Questions on LCM of 6508 and 6514

1. What is the LCM of 6508 and 6514?

Answer: LCM of 6508 and 6514 is 21196556.

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 6514?

Answer: Factors of 6514 are 1, 2, 3257, 6514. There are 4 integers that are factors of 6514. The greatest factor of 6514 is 6514.

4. How to Find the LCM of 6508 and 6514?

Answer:

Least Common Multiple of 6508 and 6514 = 21196556

Step 1: Find the prime factorization of 6508

6508 = 2 x 2 x 1627

Step 2: Find the prime factorization of 6514

6514 = 2 x 3257

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

LCM = 21196556 = 2 x 2 x 1627 x 3257

Step 4: Therefore, the least common multiple of 6508 and 6514 is 21196556.