Least Common Multiple of 31469 and 31475

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 31475 the smallest integer that is 990486775 that is divisible by both numbers.

Least Common Multiple (LCM) of 31469 and 31475 is 990486775.

LCM(31469,31475) = 990486775

LCM of 31469 and 31475

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

LCM of:
and

Least Common Multiple of 31469 and 31475

LCM of 31469 and 31475 is 990486775

Least common multiple can be found by multiplying the highest exponent prime factors of 31469 and 31475. First we will calculate the prime factors of 31469 and 31475.

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 31475


5 31475
5 6295
1259 1259
1

Prime factors of 31475 are 5,1259. Prime factorization of 31475 in exponential form is:

31475 = 52×12591

Now multiplying the highest exponent prime factors to calculate the LCM of 31469 and 31475.

LCM(31469,31475) = 52×12591×314691
LCM(31469,31475) = 990486775

Factors of 31469

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

1, 31469

Factors of 31475

List of positive integer factors of 31475 that divides 31475 without a remainder.

1, 5, 25, 1259, 6295, 31475

Least Common Multiple of 31469 and 31475 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 31475, than apply into the LCM equation.

GCF(31469,31475) = 1
LCM(31469,31475) = ( 31469 × 31475) / 1
LCM(31469,31475) = 990486775 / 1
LCM(31469,31475) = 990486775

Properties of LCM 31469 and 31475

(i) The LCM of 31475 and 31469 is associative

LCM of 31469 and 31475 = LCM of 31475 and 31469

Related Least Common Multiples of 31469

Related Least Common Multiples of 31475

Frequently Asked Questions on LCM of 31469 and 31475

1. What is the LCM of 31469 and 31475?

Answer: LCM of 31469 and 31475 is 990486775.

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 31475?

Answer: Factors of 31475 are 1, 5, 25, 1259, 6295, 31475. There are 6 integers that are factors of 31475. The greatest factor of 31475 is 31475.

4. How to Find the LCM of 31469 and 31475?

Answer:

Least Common Multiple of 31469 and 31475 = 990486775

Step 1: Find the prime factorization of 31469

31469 = 31469

Step 2: Find the prime factorization of 31475

31475 = 5 x 5 x 1259

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

LCM = 990486775 = 5 x 5 x 1259 x 31469

Step 4: Therefore, the least common multiple of 31469 and 31475 is 990486775.