Least Common Multiple of 31308 and 31316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31308 and 31316 the smallest integer that is 245110332 that is divisible by both numbers.

Least Common Multiple (LCM) of 31308 and 31316 is 245110332.

LCM(31308,31316) = 245110332

LCM of 31308 and 31316

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

LCM of:
and

Least Common Multiple of 31308 and 31316

LCM of 31308 and 31316 is 245110332

Least common multiple can be found by multiplying the highest exponent prime factors of 31308 and 31316. First we will calculate the prime factors of 31308 and 31316.

Prime Factorization of 31308


2 31308
2 15654
3 7827
2609 2609
1

Prime factors of 31308 are 2, 3,2609. Prime factorization of 31308 in exponential form is:

31308 = 22×31×26091

Prime Factorization of 31316


2 31316
2 15658
7829 7829
1

Prime factors of 31316 are 2,7829. Prime factorization of 31316 in exponential form is:

31316 = 22×78291

Now multiplying the highest exponent prime factors to calculate the LCM of 31308 and 31316.

LCM(31308,31316) = 22×31×26091×78291
LCM(31308,31316) = 245110332

Factors of 31308

List of positive integer factors of 31308 that divides 31308 without a remainder.

1, 2, 3, 4, 6, 12, 2609, 5218, 7827, 10436, 15654, 31308

Factors of 31316

List of positive integer factors of 31316 that divides 31316 without a remainder.

1, 2, 4, 7829, 15658, 31316

Least Common Multiple of 31308 and 31316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31308 and 31316, than apply into the LCM equation.

GCF(31308,31316) = 4
LCM(31308,31316) = ( 31308 × 31316) / 4
LCM(31308,31316) = 980441328 / 4
LCM(31308,31316) = 245110332

Properties of LCM 31308 and 31316

(i) The LCM of 31316 and 31308 is associative

LCM of 31308 and 31316 = LCM of 31316 and 31308

Related Least Common Multiples of 31308

Related Least Common Multiples of 31316

Frequently Asked Questions on LCM of 31308 and 31316

1. What is the LCM of 31308 and 31316?

Answer: LCM of 31308 and 31316 is 245110332.

2. What are the Factors of 31308?

Answer: Factors of 31308 are 1, 2, 3, 4, 6, 12, 2609, 5218, 7827, 10436, 15654, 31308. There are 12 integers that are factors of 31308. The greatest factor of 31308 is 31308.

3. What are the Factors of 31316?

Answer: Factors of 31316 are 1, 2, 4, 7829, 15658, 31316. There are 6 integers that are factors of 31316. The greatest factor of 31316 is 31316.

4. How to Find the LCM of 31308 and 31316?

Answer:

Least Common Multiple of 31308 and 31316 = 245110332

Step 1: Find the prime factorization of 31308

31308 = 2 x 2 x 3 x 2609

Step 2: Find the prime factorization of 31316

31316 = 2 x 2 x 7829

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

LCM = 245110332 = 2 x 2 x 3 x 2609 x 7829

Step 4: Therefore, the least common multiple of 31308 and 31316 is 245110332.