Least Common Multiple of 31308 and 31315

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 31315 the smallest integer that is 980410020 that is divisible by both numbers.

Least Common Multiple (LCM) of 31308 and 31315 is 980410020.

LCM(31308,31315) = 980410020

LCM of 31308 and 31315

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

LCM of:
and

Least Common Multiple of 31308 and 31315

LCM of 31308 and 31315 is 980410020

Least common multiple can be found by multiplying the highest exponent prime factors of 31308 and 31315. First we will calculate the prime factors of 31308 and 31315.

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 31315


5 31315
6263 6263
1

Prime factors of 31315 are 5,6263. Prime factorization of 31315 in exponential form is:

31315 = 51×62631

Now multiplying the highest exponent prime factors to calculate the LCM of 31308 and 31315.

LCM(31308,31315) = 22×31×51×26091×62631
LCM(31308,31315) = 980410020

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 31315

List of positive integer factors of 31315 that divides 31315 without a remainder.

1, 5, 6263, 31315

Least Common Multiple of 31308 and 31315 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 31315, than apply into the LCM equation.

GCF(31308,31315) = 1
LCM(31308,31315) = ( 31308 × 31315) / 1
LCM(31308,31315) = 980410020 / 1
LCM(31308,31315) = 980410020

Properties of LCM 31308 and 31315

(i) The LCM of 31315 and 31308 is associative

LCM of 31308 and 31315 = LCM of 31315 and 31308

Related Least Common Multiples of 31308

Related Least Common Multiples of 31315

Frequently Asked Questions on LCM of 31308 and 31315

1. What is the LCM of 31308 and 31315?

Answer: LCM of 31308 and 31315 is 980410020.

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 31315?

Answer: Factors of 31315 are 1, 5, 6263, 31315. There are 4 integers that are factors of 31315. The greatest factor of 31315 is 31315.

4. How to Find the LCM of 31308 and 31315?

Answer:

Least Common Multiple of 31308 and 31315 = 980410020

Step 1: Find the prime factorization of 31308

31308 = 2 x 2 x 3 x 2609

Step 2: Find the prime factorization of 31315

31315 = 5 x 6263

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

LCM = 980410020 = 2 x 2 x 3 x 5 x 2609 x 6263

Step 4: Therefore, the least common multiple of 31308 and 31315 is 980410020.