Least Common Multiple of 6507 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 6507 and 6514 the smallest integer that is 42386598 that is divisible by both numbers.

Least Common Multiple (LCM) of 6507 and 6514 is 42386598.

LCM(6507,6514) = 42386598

LCM of 6507 and 6514

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

LCM of:
and

Least Common Multiple of 6507 and 6514

LCM of 6507 and 6514 is 42386598

Least common multiple can be found by multiplying the highest exponent prime factors of 6507 and 6514. First we will calculate the prime factors of 6507 and 6514.

Prime Factorization of 6507


3 6507
3 2169
3 723
241 241
1

Prime factors of 6507 are 3,241. Prime factorization of 6507 in exponential form is:

6507 = 33×2411

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 6507 and 6514.

LCM(6507,6514) = 21×33×2411×32571
LCM(6507,6514) = 42386598

Factors of 6507

List of positive integer factors of 6507 that divides 6507 without a remainder.

1, 3, 9, 27, 241, 723, 2169, 6507

Factors of 6514

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

1, 2, 3257, 6514

Least Common Multiple of 6507 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 6507 and 6514, than apply into the LCM equation.

GCF(6507,6514) = 1
LCM(6507,6514) = ( 6507 × 6514) / 1
LCM(6507,6514) = 42386598 / 1
LCM(6507,6514) = 42386598

Properties of LCM 6507 and 6514

(i) The LCM of 6514 and 6507 is associative

LCM of 6507 and 6514 = LCM of 6514 and 6507

Related Least Common Multiples of 6507

Related Least Common Multiples of 6514

Frequently Asked Questions on LCM of 6507 and 6514

1. What is the LCM of 6507 and 6514?

Answer: LCM of 6507 and 6514 is 42386598.

2. What are the Factors of 6507?

Answer: Factors of 6507 are 1, 3, 9, 27, 241, 723, 2169, 6507. There are 8 integers that are factors of 6507. The greatest factor of 6507 is 6507.

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 6507 and 6514?

Answer:

Least Common Multiple of 6507 and 6514 = 42386598

Step 1: Find the prime factorization of 6507

6507 = 3 x 3 x 3 x 241

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 = 42386598 = 2 x 3 x 3 x 3 x 241 x 3257

Step 4: Therefore, the least common multiple of 6507 and 6514 is 42386598.