Least Common Multiple of 10308 and 10316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10308 and 10316 the smallest integer that is 26584332 that is divisible by both numbers.

Least Common Multiple (LCM) of 10308 and 10316 is 26584332.

LCM(10308,10316) = 26584332

LCM of 10308 and 10316

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

LCM of:
and

Least Common Multiple of 10308 and 10316

LCM of 10308 and 10316 is 26584332

Least common multiple can be found by multiplying the highest exponent prime factors of 10308 and 10316. First we will calculate the prime factors of 10308 and 10316.

Prime Factorization of 10308


2 10308
2 5154
3 2577
859 859
1

Prime factors of 10308 are 2, 3,859. Prime factorization of 10308 in exponential form is:

10308 = 22×31×8591

Prime Factorization of 10316


2 10316
2 5158
2579 2579
1

Prime factors of 10316 are 2,2579. Prime factorization of 10316 in exponential form is:

10316 = 22×25791

Now multiplying the highest exponent prime factors to calculate the LCM of 10308 and 10316.

LCM(10308,10316) = 22×31×8591×25791
LCM(10308,10316) = 26584332

Factors of 10308

List of positive integer factors of 10308 that divides 10308 without a remainder.

1, 2, 3, 4, 6, 12, 859, 1718, 2577, 3436, 5154, 10308

Factors of 10316

List of positive integer factors of 10316 that divides 10316 without a remainder.

1, 2, 4, 2579, 5158, 10316

Least Common Multiple of 10308 and 10316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10308 and 10316, than apply into the LCM equation.

GCF(10308,10316) = 4
LCM(10308,10316) = ( 10308 × 10316) / 4
LCM(10308,10316) = 106337328 / 4
LCM(10308,10316) = 26584332

Properties of LCM 10308 and 10316

(i) The LCM of 10316 and 10308 is associative

LCM of 10308 and 10316 = LCM of 10316 and 10308

Related Least Common Multiples of 10308

Related Least Common Multiples of 10316

Frequently Asked Questions on LCM of 10308 and 10316

1. What is the LCM of 10308 and 10316?

Answer: LCM of 10308 and 10316 is 26584332.

2. What are the Factors of 10308?

Answer: Factors of 10308 are 1, 2, 3, 4, 6, 12, 859, 1718, 2577, 3436, 5154, 10308. There are 12 integers that are factors of 10308. The greatest factor of 10308 is 10308.

3. What are the Factors of 10316?

Answer: Factors of 10316 are 1, 2, 4, 2579, 5158, 10316. There are 6 integers that are factors of 10316. The greatest factor of 10316 is 10316.

4. How to Find the LCM of 10308 and 10316?

Answer:

Least Common Multiple of 10308 and 10316 = 26584332

Step 1: Find the prime factorization of 10308

10308 = 2 x 2 x 3 x 859

Step 2: Find the prime factorization of 10316

10316 = 2 x 2 x 2579

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

LCM = 26584332 = 2 x 2 x 3 x 859 x 2579

Step 4: Therefore, the least common multiple of 10308 and 10316 is 26584332.