Least Common Multiple of 31469 and 31477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31469 and 31477 the smallest integer that is 990549713 that is divisible by both numbers.

Least Common Multiple (LCM) of 31469 and 31477 is 990549713.

LCM(31469,31477) = 990549713

LCM of 31469 and 31477

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

LCM of:
and

Least Common Multiple of 31469 and 31477

LCM of 31469 and 31477 is 990549713

Least common multiple can be found by multiplying the highest exponent prime factors of 31469 and 31477. First we will calculate the prime factors of 31469 and 31477.

Prime Factorization of 31469


31469 31469
1

Prime factors of 31469 are 31469. Prime factorization of 31469 in exponential form is:

31469 = 314691

Prime Factorization of 31477


31477 31477
1

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

31477 = 314771

Now multiplying the highest exponent prime factors to calculate the LCM of 31469 and 31477.

LCM(31469,31477) = 314691×314771
LCM(31469,31477) = 990549713

Factors of 31469

List of positive integer factors of 31469 that divides 31469 without a remainder.

1, 31469

Factors of 31477

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

1, 31477

Least Common Multiple of 31469 and 31477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31469 and 31477, than apply into the LCM equation.

GCF(31469,31477) = 1
LCM(31469,31477) = ( 31469 × 31477) / 1
LCM(31469,31477) = 990549713 / 1
LCM(31469,31477) = 990549713

Properties of LCM 31469 and 31477

(i) The LCM of 31477 and 31469 is associative

LCM of 31469 and 31477 = LCM of 31477 and 31469

Related Least Common Multiples of 31469

Related Least Common Multiples of 31477

Frequently Asked Questions on LCM of 31469 and 31477

1. What is the LCM of 31469 and 31477?

Answer: LCM of 31469 and 31477 is 990549713.

2. What are the Factors of 31469?

Answer: Factors of 31469 are 1, 31469. There are 2 integers that are factors of 31469. The greatest factor of 31469 is 31469.

3. 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.

4. How to Find the LCM of 31469 and 31477?

Answer:

Least Common Multiple of 31469 and 31477 = 990549713

Step 1: Find the prime factorization of 31469

31469 = 31469

Step 2: Find the prime factorization of 31477

31477 = 31477

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

LCM = 990549713 = 31469 x 31477

Step 4: Therefore, the least common multiple of 31469 and 31477 is 990549713.