Least Common Multiple of 31301 and 31308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31301 and 31308 the smallest integer that is 979971708 that is divisible by both numbers.

Least Common Multiple (LCM) of 31301 and 31308 is 979971708.

LCM(31301,31308) = 979971708

LCM of 31301 and 31308

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

LCM of:
and

Least Common Multiple of 31301 and 31308

LCM of 31301 and 31308 is 979971708

Least common multiple can be found by multiplying the highest exponent prime factors of 31301 and 31308. First we will calculate the prime factors of 31301 and 31308.

Prime Factorization of 31301


113 31301
277 277
1

Prime factors of 31301 are 113,277. Prime factorization of 31301 in exponential form is:

31301 = 1131×2771

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

Now multiplying the highest exponent prime factors to calculate the LCM of 31301 and 31308.

LCM(31301,31308) = 22×31×1131×2771×26091
LCM(31301,31308) = 979971708

Factors of 31301

List of positive integer factors of 31301 that divides 31301 without a remainder.

1, 113, 277, 31301

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

Least Common Multiple of 31301 and 31308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31301 and 31308, than apply into the LCM equation.

GCF(31301,31308) = 1
LCM(31301,31308) = ( 31301 × 31308) / 1
LCM(31301,31308) = 979971708 / 1
LCM(31301,31308) = 979971708

Properties of LCM 31301 and 31308

(i) The LCM of 31308 and 31301 is associative

LCM of 31301 and 31308 = LCM of 31308 and 31301

Related Least Common Multiples of 31301

Related Least Common Multiples of 31308

Frequently Asked Questions on LCM of 31301 and 31308

1. What is the LCM of 31301 and 31308?

Answer: LCM of 31301 and 31308 is 979971708.

2. What are the Factors of 31301?

Answer: Factors of 31301 are 1, 113, 277, 31301. There are 4 integers that are factors of 31301. The greatest factor of 31301 is 31301.

3. 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.

4. How to Find the LCM of 31301 and 31308?

Answer:

Least Common Multiple of 31301 and 31308 = 979971708

Step 1: Find the prime factorization of 31301

31301 = 113 x 277

Step 2: Find the prime factorization of 31308

31308 = 2 x 2 x 3 x 2609

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

LCM = 979971708 = 2 x 2 x 3 x 113 x 277 x 2609

Step 4: Therefore, the least common multiple of 31301 and 31308 is 979971708.