Least Common Multiple of 31301 and 31307

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 31307 the smallest integer that is 979940407 that is divisible by both numbers.

Least Common Multiple (LCM) of 31301 and 31307 is 979940407.

LCM(31301,31307) = 979940407

LCM of 31301 and 31307

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

LCM of:
and

Least Common Multiple of 31301 and 31307

LCM of 31301 and 31307 is 979940407

Least common multiple can be found by multiplying the highest exponent prime factors of 31301 and 31307. First we will calculate the prime factors of 31301 and 31307.

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 31307


31307 31307
1

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

31307 = 313071

Now multiplying the highest exponent prime factors to calculate the LCM of 31301 and 31307.

LCM(31301,31307) = 1131×2771×313071
LCM(31301,31307) = 979940407

Factors of 31301

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

1, 113, 277, 31301

Factors of 31307

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

1, 31307

Least Common Multiple of 31301 and 31307 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 31307, than apply into the LCM equation.

GCF(31301,31307) = 1
LCM(31301,31307) = ( 31301 × 31307) / 1
LCM(31301,31307) = 979940407 / 1
LCM(31301,31307) = 979940407

Properties of LCM 31301 and 31307

(i) The LCM of 31307 and 31301 is associative

LCM of 31301 and 31307 = LCM of 31307 and 31301

Related Least Common Multiples of 31301

Related Least Common Multiples of 31307

Frequently Asked Questions on LCM of 31301 and 31307

1. What is the LCM of 31301 and 31307?

Answer: LCM of 31301 and 31307 is 979940407.

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 31307?

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

4. How to Find the LCM of 31301 and 31307?

Answer:

Least Common Multiple of 31301 and 31307 = 979940407

Step 1: Find the prime factorization of 31301

31301 = 113 x 277

Step 2: Find the prime factorization of 31307

31307 = 31307

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

LCM = 979940407 = 113 x 277 x 31307

Step 4: Therefore, the least common multiple of 31301 and 31307 is 979940407.