Least Common Multiple of 6306 and 6313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6306 and 6313 the smallest integer that is 39809778 that is divisible by both numbers.

Least Common Multiple (LCM) of 6306 and 6313 is 39809778.

LCM(6306,6313) = 39809778

LCM of 6306 and 6313

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

LCM of:
and

Least Common Multiple of 6306 and 6313

LCM of 6306 and 6313 is 39809778

Least common multiple can be found by multiplying the highest exponent prime factors of 6306 and 6313. First we will calculate the prime factors of 6306 and 6313.

Prime Factorization of 6306


2 6306
3 3153
1051 1051
1

Prime factors of 6306 are 2, 3,1051. Prime factorization of 6306 in exponential form is:

6306 = 21×31×10511

Prime Factorization of 6313


59 6313
107 107
1

Prime factors of 6313 are 59,107. Prime factorization of 6313 in exponential form is:

6313 = 591×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 6306 and 6313.

LCM(6306,6313) = 21×31×591×1071×10511
LCM(6306,6313) = 39809778

Factors of 6306

List of positive integer factors of 6306 that divides 6306 without a remainder.

1, 2, 3, 6, 1051, 2102, 3153, 6306

Factors of 6313

List of positive integer factors of 6313 that divides 6313 without a remainder.

1, 59, 107, 6313

Least Common Multiple of 6306 and 6313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6306 and 6313, than apply into the LCM equation.

GCF(6306,6313) = 1
LCM(6306,6313) = ( 6306 × 6313) / 1
LCM(6306,6313) = 39809778 / 1
LCM(6306,6313) = 39809778

Properties of LCM 6306 and 6313

(i) The LCM of 6313 and 6306 is associative

LCM of 6306 and 6313 = LCM of 6313 and 6306

Related Least Common Multiples of 6306

Related Least Common Multiples of 6313

Frequently Asked Questions on LCM of 6306 and 6313

1. What is the LCM of 6306 and 6313?

Answer: LCM of 6306 and 6313 is 39809778.

2. What are the Factors of 6306?

Answer: Factors of 6306 are 1, 2, 3, 6, 1051, 2102, 3153, 6306. There are 8 integers that are factors of 6306. The greatest factor of 6306 is 6306.

3. What are the Factors of 6313?

Answer: Factors of 6313 are 1, 59, 107, 6313. There are 4 integers that are factors of 6313. The greatest factor of 6313 is 6313.

4. How to Find the LCM of 6306 and 6313?

Answer:

Least Common Multiple of 6306 and 6313 = 39809778

Step 1: Find the prime factorization of 6306

6306 = 2 x 3 x 1051

Step 2: Find the prime factorization of 6313

6313 = 59 x 107

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

LCM = 39809778 = 2 x 3 x 59 x 107 x 1051

Step 4: Therefore, the least common multiple of 6306 and 6313 is 39809778.