Least Common Multiple of 31477 and 31481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31477 and 31481 the smallest integer that is 990927437 that is divisible by both numbers.

Least Common Multiple (LCM) of 31477 and 31481 is 990927437.

LCM(31477,31481) = 990927437

LCM of 31477 and 31481

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

LCM of:
and

Least Common Multiple of 31477 and 31481

LCM of 31477 and 31481 is 990927437

Least common multiple can be found by multiplying the highest exponent prime factors of 31477 and 31481. First we will calculate the prime factors of 31477 and 31481.

Prime Factorization of 31477


31477 31477
1

Prime factors of 31477 are 31477. Prime factorization of 31477 in exponential form is:

31477 = 314771

Prime Factorization of 31481


31481 31481
1

Prime factors of 31481 are 31481. Prime factorization of 31481 in exponential form is:

31481 = 314811

Now multiplying the highest exponent prime factors to calculate the LCM of 31477 and 31481.

LCM(31477,31481) = 314771×314811
LCM(31477,31481) = 990927437

Factors of 31477

List of positive integer factors of 31477 that divides 31477 without a remainder.

1, 31477

Factors of 31481

List of positive integer factors of 31481 that divides 31481 without a remainder.

1, 31481

Least Common Multiple of 31477 and 31481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31477 and 31481, than apply into the LCM equation.

GCF(31477,31481) = 1
LCM(31477,31481) = ( 31477 × 31481) / 1
LCM(31477,31481) = 990927437 / 1
LCM(31477,31481) = 990927437

Properties of LCM 31477 and 31481

(i) The LCM of 31481 and 31477 is associative

LCM of 31477 and 31481 = LCM of 31481 and 31477

Related Least Common Multiples of 31477

Related Least Common Multiples of 31481

Frequently Asked Questions on LCM of 31477 and 31481

1. What is the LCM of 31477 and 31481?

Answer: LCM of 31477 and 31481 is 990927437.

2. What are the Factors of 31477?

Answer: Factors of 31477 are 1, 31477. There are 2 integers that are factors of 31477. The greatest factor of 31477 is 31477.

3. What are the Factors of 31481?

Answer: Factors of 31481 are 1, 31481. There are 2 integers that are factors of 31481. The greatest factor of 31481 is 31481.

4. How to Find the LCM of 31477 and 31481?

Answer:

Least Common Multiple of 31477 and 31481 = 990927437

Step 1: Find the prime factorization of 31477

31477 = 31477

Step 2: Find the prime factorization of 31481

31481 = 31481

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

LCM = 990927437 = 31477 x 31481

Step 4: Therefore, the least common multiple of 31477 and 31481 is 990927437.