Least Common Multiple of 6305 and 6310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6305 and 6310 the smallest integer that is 7956910 that is divisible by both numbers.

Least Common Multiple (LCM) of 6305 and 6310 is 7956910.

LCM(6305,6310) = 7956910

LCM of 6305 and 6310

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

LCM of:
and

Least Common Multiple of 6305 and 6310

LCM of 6305 and 6310 is 7956910

Least common multiple can be found by multiplying the highest exponent prime factors of 6305 and 6310. First we will calculate the prime factors of 6305 and 6310.

Prime Factorization of 6305


5 6305
13 1261
97 97
1

Prime factors of 6305 are 5, 13,97. Prime factorization of 6305 in exponential form is:

6305 = 51×131×971

Prime Factorization of 6310


2 6310
5 3155
631 631
1

Prime factors of 6310 are 2, 5,631. Prime factorization of 6310 in exponential form is:

6310 = 21×51×6311

Now multiplying the highest exponent prime factors to calculate the LCM of 6305 and 6310.

LCM(6305,6310) = 21×51×131×971×6311
LCM(6305,6310) = 7956910

Factors of 6305

List of positive integer factors of 6305 that divides 6305 without a remainder.

1, 5, 13, 65, 97, 485, 1261, 6305

Factors of 6310

List of positive integer factors of 6310 that divides 6310 without a remainder.

1, 2, 5, 10, 631, 1262, 3155, 6310

Least Common Multiple of 6305 and 6310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6305 and 6310, than apply into the LCM equation.

GCF(6305,6310) = 5
LCM(6305,6310) = ( 6305 × 6310) / 5
LCM(6305,6310) = 39784550 / 5
LCM(6305,6310) = 7956910

Properties of LCM 6305 and 6310

(i) The LCM of 6310 and 6305 is associative

LCM of 6305 and 6310 = LCM of 6310 and 6305

Related Least Common Multiples of 6305

Related Least Common Multiples of 6310

Frequently Asked Questions on LCM of 6305 and 6310

1. What is the LCM of 6305 and 6310?

Answer: LCM of 6305 and 6310 is 7956910.

2. What are the Factors of 6305?

Answer: Factors of 6305 are 1, 5, 13, 65, 97, 485, 1261, 6305. There are 8 integers that are factors of 6305. The greatest factor of 6305 is 6305.

3. What are the Factors of 6310?

Answer: Factors of 6310 are 1, 2, 5, 10, 631, 1262, 3155, 6310. There are 8 integers that are factors of 6310. The greatest factor of 6310 is 6310.

4. How to Find the LCM of 6305 and 6310?

Answer:

Least Common Multiple of 6305 and 6310 = 7956910

Step 1: Find the prime factorization of 6305

6305 = 5 x 13 x 97

Step 2: Find the prime factorization of 6310

6310 = 2 x 5 x 631

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

LCM = 7956910 = 2 x 5 x 13 x 97 x 631

Step 4: Therefore, the least common multiple of 6305 and 6310 is 7956910.