Least Common Multiple of 6299 and 6307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6299 and 6307 the smallest integer that is 39727793 that is divisible by both numbers.

Least Common Multiple (LCM) of 6299 and 6307 is 39727793.

LCM(6299,6307) = 39727793

LCM of 6299 and 6307

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

LCM of:
and

Least Common Multiple of 6299 and 6307

LCM of 6299 and 6307 is 39727793

Least common multiple can be found by multiplying the highest exponent prime factors of 6299 and 6307. First we will calculate the prime factors of 6299 and 6307.

Prime Factorization of 6299


6299 6299
1

Prime factors of 6299 are 6299. Prime factorization of 6299 in exponential form is:

6299 = 62991

Prime Factorization of 6307


7 6307
17 901
53 53
1

Prime factors of 6307 are 7, 17,53. Prime factorization of 6307 in exponential form is:

6307 = 71×171×531

Now multiplying the highest exponent prime factors to calculate the LCM of 6299 and 6307.

LCM(6299,6307) = 71×171×531×62991
LCM(6299,6307) = 39727793

Factors of 6299

List of positive integer factors of 6299 that divides 6299 without a remainder.

1, 6299

Factors of 6307

List of positive integer factors of 6307 that divides 6307 without a remainder.

1, 7, 17, 53, 119, 371, 901, 6307

Least Common Multiple of 6299 and 6307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6299 and 6307, than apply into the LCM equation.

GCF(6299,6307) = 1
LCM(6299,6307) = ( 6299 × 6307) / 1
LCM(6299,6307) = 39727793 / 1
LCM(6299,6307) = 39727793

Properties of LCM 6299 and 6307

(i) The LCM of 6307 and 6299 is associative

LCM of 6299 and 6307 = LCM of 6307 and 6299

Related Least Common Multiples of 6299

Related Least Common Multiples of 6307

Frequently Asked Questions on LCM of 6299 and 6307

1. What is the LCM of 6299 and 6307?

Answer: LCM of 6299 and 6307 is 39727793.

2. What are the Factors of 6299?

Answer: Factors of 6299 are 1, 6299. There are 2 integers that are factors of 6299. The greatest factor of 6299 is 6299.

3. What are the Factors of 6307?

Answer: Factors of 6307 are 1, 7, 17, 53, 119, 371, 901, 6307. There are 8 integers that are factors of 6307. The greatest factor of 6307 is 6307.

4. How to Find the LCM of 6299 and 6307?

Answer:

Least Common Multiple of 6299 and 6307 = 39727793

Step 1: Find the prime factorization of 6299

6299 = 6299

Step 2: Find the prime factorization of 6307

6307 = 7 x 17 x 53

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

LCM = 39727793 = 7 x 17 x 53 x 6299

Step 4: Therefore, the least common multiple of 6299 and 6307 is 39727793.