Least Common Multiple of 6310 and 6314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6310 and 6314 the smallest integer that is 19920670 that is divisible by both numbers.

Least Common Multiple (LCM) of 6310 and 6314 is 19920670.

LCM(6310,6314) = 19920670

LCM of 6310 and 6314

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

LCM of:
and

Least Common Multiple of 6310 and 6314

LCM of 6310 and 6314 is 19920670

Least common multiple can be found by multiplying the highest exponent prime factors of 6310 and 6314. First we will calculate the prime factors of 6310 and 6314.

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

Prime Factorization of 6314


2 6314
7 3157
11 451
41 41
1

Prime factors of 6314 are 2, 7, 11,41. Prime factorization of 6314 in exponential form is:

6314 = 21×71×111×411

Now multiplying the highest exponent prime factors to calculate the LCM of 6310 and 6314.

LCM(6310,6314) = 21×51×71×111×411×6311
LCM(6310,6314) = 19920670

Factors of 6310

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

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

Factors of 6314

List of positive integer factors of 6314 that divides 6314 without a remainder.

1, 2, 7, 11, 14, 22, 41, 77, 82, 154, 287, 451, 574, 902, 3157, 6314

Least Common Multiple of 6310 and 6314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6310 and 6314, than apply into the LCM equation.

GCF(6310,6314) = 2
LCM(6310,6314) = ( 6310 × 6314) / 2
LCM(6310,6314) = 39841340 / 2
LCM(6310,6314) = 19920670

Properties of LCM 6310 and 6314

(i) The LCM of 6314 and 6310 is associative

LCM of 6310 and 6314 = LCM of 6314 and 6310

Related Least Common Multiples of 6310

Related Least Common Multiples of 6314

Frequently Asked Questions on LCM of 6310 and 6314

1. What is the LCM of 6310 and 6314?

Answer: LCM of 6310 and 6314 is 19920670.

2. 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.

3. What are the Factors of 6314?

Answer: Factors of 6314 are 1, 2, 7, 11, 14, 22, 41, 77, 82, 154, 287, 451, 574, 902, 3157, 6314. There are 16 integers that are factors of 6314. The greatest factor of 6314 is 6314.

4. How to Find the LCM of 6310 and 6314?

Answer:

Least Common Multiple of 6310 and 6314 = 19920670

Step 1: Find the prime factorization of 6310

6310 = 2 x 5 x 631

Step 2: Find the prime factorization of 6314

6314 = 2 x 7 x 11 x 41

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

LCM = 19920670 = 2 x 5 x 7 x 11 x 41 x 631

Step 4: Therefore, the least common multiple of 6310 and 6314 is 19920670.