Least Common Multiple of 31321 and 31327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31321 and 31327 the smallest integer that is 981192967 that is divisible by both numbers.

Least Common Multiple (LCM) of 31321 and 31327 is 981192967.

LCM(31321,31327) = 981192967

LCM of 31321 and 31327

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

LCM of:
and

Least Common Multiple of 31321 and 31327

LCM of 31321 and 31327 is 981192967

Least common multiple can be found by multiplying the highest exponent prime factors of 31321 and 31327. First we will calculate the prime factors of 31321 and 31327.

Prime Factorization of 31321


31321 31321
1

Prime factors of 31321 are 31321. Prime factorization of 31321 in exponential form is:

31321 = 313211

Prime Factorization of 31327


31327 31327
1

Prime factors of 31327 are 31327. Prime factorization of 31327 in exponential form is:

31327 = 313271

Now multiplying the highest exponent prime factors to calculate the LCM of 31321 and 31327.

LCM(31321,31327) = 313211×313271
LCM(31321,31327) = 981192967

Factors of 31321

List of positive integer factors of 31321 that divides 31321 without a remainder.

1, 31321

Factors of 31327

List of positive integer factors of 31327 that divides 31327 without a remainder.

1, 31327

Least Common Multiple of 31321 and 31327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31321 and 31327, than apply into the LCM equation.

GCF(31321,31327) = 1
LCM(31321,31327) = ( 31321 × 31327) / 1
LCM(31321,31327) = 981192967 / 1
LCM(31321,31327) = 981192967

Properties of LCM 31321 and 31327

(i) The LCM of 31327 and 31321 is associative

LCM of 31321 and 31327 = LCM of 31327 and 31321

Related Least Common Multiples of 31321

Related Least Common Multiples of 31327

Frequently Asked Questions on LCM of 31321 and 31327

1. What is the LCM of 31321 and 31327?

Answer: LCM of 31321 and 31327 is 981192967.

2. What are the Factors of 31321?

Answer: Factors of 31321 are 1, 31321. There are 2 integers that are factors of 31321. The greatest factor of 31321 is 31321.

3. What are the Factors of 31327?

Answer: Factors of 31327 are 1, 31327. There are 2 integers that are factors of 31327. The greatest factor of 31327 is 31327.

4. How to Find the LCM of 31321 and 31327?

Answer:

Least Common Multiple of 31321 and 31327 = 981192967

Step 1: Find the prime factorization of 31321

31321 = 31321

Step 2: Find the prime factorization of 31327

31327 = 31327

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

LCM = 981192967 = 31321 x 31327

Step 4: Therefore, the least common multiple of 31321 and 31327 is 981192967.