Least Common Multiple of 31307 and 31311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31307 and 31311 the smallest integer that is 980253477 that is divisible by both numbers.

Least Common Multiple (LCM) of 31307 and 31311 is 980253477.

LCM(31307,31311) = 980253477

LCM of 31307 and 31311

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

LCM of:
and

Least Common Multiple of 31307 and 31311

LCM of 31307 and 31311 is 980253477

Least common multiple can be found by multiplying the highest exponent prime factors of 31307 and 31311. First we will calculate the prime factors of 31307 and 31311.

Prime Factorization of 31307


31307 31307
1

Prime factors of 31307 are 31307. Prime factorization of 31307 in exponential form is:

31307 = 313071

Prime Factorization of 31311


3 31311
3 10437
7 3479
7 497
71 71
1

Prime factors of 31311 are 3, 7,71. Prime factorization of 31311 in exponential form is:

31311 = 32×72×711

Now multiplying the highest exponent prime factors to calculate the LCM of 31307 and 31311.

LCM(31307,31311) = 32×72×711×313071
LCM(31307,31311) = 980253477

Factors of 31307

List of positive integer factors of 31307 that divides 31307 without a remainder.

1, 31307

Factors of 31311

List of positive integer factors of 31311 that divides 31311 without a remainder.

1, 3, 7, 9, 21, 49, 63, 71, 147, 213, 441, 497, 639, 1491, 3479, 4473, 10437, 31311

Least Common Multiple of 31307 and 31311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31307 and 31311, than apply into the LCM equation.

GCF(31307,31311) = 1
LCM(31307,31311) = ( 31307 × 31311) / 1
LCM(31307,31311) = 980253477 / 1
LCM(31307,31311) = 980253477

Properties of LCM 31307 and 31311

(i) The LCM of 31311 and 31307 is associative

LCM of 31307 and 31311 = LCM of 31311 and 31307

Related Least Common Multiples of 31307

Related Least Common Multiples of 31311

Frequently Asked Questions on LCM of 31307 and 31311

1. What is the LCM of 31307 and 31311?

Answer: LCM of 31307 and 31311 is 980253477.

2. What are the Factors of 31307?

Answer: Factors of 31307 are 1, 31307. There are 2 integers that are factors of 31307. The greatest factor of 31307 is 31307.

3. What are the Factors of 31311?

Answer: Factors of 31311 are 1, 3, 7, 9, 21, 49, 63, 71, 147, 213, 441, 497, 639, 1491, 3479, 4473, 10437, 31311. There are 18 integers that are factors of 31311. The greatest factor of 31311 is 31311.

4. How to Find the LCM of 31307 and 31311?

Answer:

Least Common Multiple of 31307 and 31311 = 980253477

Step 1: Find the prime factorization of 31307

31307 = 31307

Step 2: Find the prime factorization of 31311

31311 = 3 x 3 x 7 x 7 x 71

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

LCM = 980253477 = 3 x 3 x 7 x 7 x 71 x 31307

Step 4: Therefore, the least common multiple of 31307 and 31311 is 980253477.