Least Common Multiple of 31469 and 31473

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 31473 the smallest integer that is 990423837 that is divisible by both numbers.

Least Common Multiple (LCM) of 31469 and 31473 is 990423837.

LCM(31469,31473) = 990423837

LCM of 31469 and 31473

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

LCM of:
and

Least Common Multiple of 31469 and 31473

LCM of 31469 and 31473 is 990423837

Least common multiple can be found by multiplying the highest exponent prime factors of 31469 and 31473. First we will calculate the prime factors of 31469 and 31473.

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 31473


3 31473
3 10491
13 3497
269 269
1

Prime factors of 31473 are 3, 13,269. Prime factorization of 31473 in exponential form is:

31473 = 32×131×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 31469 and 31473.

LCM(31469,31473) = 32×131×2691×314691
LCM(31469,31473) = 990423837

Factors of 31469

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

1, 31469

Factors of 31473

List of positive integer factors of 31473 that divides 31473 without a remainder.

1, 3, 9, 13, 39, 117, 269, 807, 2421, 3497, 10491, 31473

Least Common Multiple of 31469 and 31473 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 31473, than apply into the LCM equation.

GCF(31469,31473) = 1
LCM(31469,31473) = ( 31469 × 31473) / 1
LCM(31469,31473) = 990423837 / 1
LCM(31469,31473) = 990423837

Properties of LCM 31469 and 31473

(i) The LCM of 31473 and 31469 is associative

LCM of 31469 and 31473 = LCM of 31473 and 31469

Related Least Common Multiples of 31469

Related Least Common Multiples of 31473

Frequently Asked Questions on LCM of 31469 and 31473

1. What is the LCM of 31469 and 31473?

Answer: LCM of 31469 and 31473 is 990423837.

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 31473?

Answer: Factors of 31473 are 1, 3, 9, 13, 39, 117, 269, 807, 2421, 3497, 10491, 31473. There are 12 integers that are factors of 31473. The greatest factor of 31473 is 31473.

4. How to Find the LCM of 31469 and 31473?

Answer:

Least Common Multiple of 31469 and 31473 = 990423837

Step 1: Find the prime factorization of 31469

31469 = 31469

Step 2: Find the prime factorization of 31473

31473 = 3 x 3 x 13 x 269

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

LCM = 990423837 = 3 x 3 x 13 x 269 x 31469

Step 4: Therefore, the least common multiple of 31469 and 31473 is 990423837.