Least Common Multiple of 31307 and 31313

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 31313 the smallest integer that is 980316091 that is divisible by both numbers.

Least Common Multiple (LCM) of 31307 and 31313 is 980316091.

LCM(31307,31313) = 980316091

LCM of 31307 and 31313

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

LCM of:
and

Least Common Multiple of 31307 and 31313

LCM of 31307 and 31313 is 980316091

Least common multiple can be found by multiplying the highest exponent prime factors of 31307 and 31313. First we will calculate the prime factors of 31307 and 31313.

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 31313


173 31313
181 181
1

Prime factors of 31313 are 173,181. Prime factorization of 31313 in exponential form is:

31313 = 1731×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 31307 and 31313.

LCM(31307,31313) = 1731×1811×313071
LCM(31307,31313) = 980316091

Factors of 31307

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

1, 31307

Factors of 31313

List of positive integer factors of 31313 that divides 31313 without a remainder.

1, 173, 181, 31313

Least Common Multiple of 31307 and 31313 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 31313, than apply into the LCM equation.

GCF(31307,31313) = 1
LCM(31307,31313) = ( 31307 × 31313) / 1
LCM(31307,31313) = 980316091 / 1
LCM(31307,31313) = 980316091

Properties of LCM 31307 and 31313

(i) The LCM of 31313 and 31307 is associative

LCM of 31307 and 31313 = LCM of 31313 and 31307

Related Least Common Multiples of 31307

Related Least Common Multiples of 31313

Frequently Asked Questions on LCM of 31307 and 31313

1. What is the LCM of 31307 and 31313?

Answer: LCM of 31307 and 31313 is 980316091.

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 31313?

Answer: Factors of 31313 are 1, 173, 181, 31313. There are 4 integers that are factors of 31313. The greatest factor of 31313 is 31313.

4. How to Find the LCM of 31307 and 31313?

Answer:

Least Common Multiple of 31307 and 31313 = 980316091

Step 1: Find the prime factorization of 31307

31307 = 31307

Step 2: Find the prime factorization of 31313

31313 = 173 x 181

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

LCM = 980316091 = 173 x 181 x 31307

Step 4: Therefore, the least common multiple of 31307 and 31313 is 980316091.