Least Common Multiple of 6509 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 6509 and 6514 the smallest integer that is 42399626 that is divisible by both numbers.

Least Common Multiple (LCM) of 6509 and 6514 is 42399626.

LCM(6509,6514) = 42399626

LCM of 6509 and 6514

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

LCM of:
and

Least Common Multiple of 6509 and 6514

LCM of 6509 and 6514 is 42399626

Least common multiple can be found by multiplying the highest exponent prime factors of 6509 and 6514. First we will calculate the prime factors of 6509 and 6514.

Prime Factorization of 6509


23 6509
283 283
1

Prime factors of 6509 are 23,283. Prime factorization of 6509 in exponential form is:

6509 = 231×2831

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 6509 and 6514.

LCM(6509,6514) = 21×231×2831×32571
LCM(6509,6514) = 42399626

Factors of 6509

List of positive integer factors of 6509 that divides 6509 without a remainder.

1, 23, 283, 6509

Factors of 6514

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

1, 2, 3257, 6514

Least Common Multiple of 6509 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 6509 and 6514, than apply into the LCM equation.

GCF(6509,6514) = 1
LCM(6509,6514) = ( 6509 × 6514) / 1
LCM(6509,6514) = 42399626 / 1
LCM(6509,6514) = 42399626

Properties of LCM 6509 and 6514

(i) The LCM of 6514 and 6509 is associative

LCM of 6509 and 6514 = LCM of 6514 and 6509

Related Least Common Multiples of 6509

Related Least Common Multiples of 6514

Frequently Asked Questions on LCM of 6509 and 6514

1. What is the LCM of 6509 and 6514?

Answer: LCM of 6509 and 6514 is 42399626.

2. What are the Factors of 6509?

Answer: Factors of 6509 are 1, 23, 283, 6509. There are 4 integers that are factors of 6509. The greatest factor of 6509 is 6509.

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 6509 and 6514?

Answer:

Least Common Multiple of 6509 and 6514 = 42399626

Step 1: Find the prime factorization of 6509

6509 = 23 x 283

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 = 42399626 = 2 x 23 x 283 x 3257

Step 4: Therefore, the least common multiple of 6509 and 6514 is 42399626.