Least Common Multiple of 31464 and 31469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31464 and 31469 the smallest integer that is 990140616 that is divisible by both numbers.

Least Common Multiple (LCM) of 31464 and 31469 is 990140616.

LCM(31464,31469) = 990140616

LCM of 31464 and 31469

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

LCM of:
and

Least Common Multiple of 31464 and 31469

LCM of 31464 and 31469 is 990140616

Least common multiple can be found by multiplying the highest exponent prime factors of 31464 and 31469. First we will calculate the prime factors of 31464 and 31469.

Prime Factorization of 31464


2 31464
2 15732
2 7866
3 3933
3 1311
19 437
23 23
1

Prime factors of 31464 are 2, 3, 19,23. Prime factorization of 31464 in exponential form is:

31464 = 23×32×191×231

Prime Factorization of 31469


31469 31469
1

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

31469 = 314691

Now multiplying the highest exponent prime factors to calculate the LCM of 31464 and 31469.

LCM(31464,31469) = 23×32×191×231×314691
LCM(31464,31469) = 990140616

Factors of 31464

List of positive integer factors of 31464 that divides 31464 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 23, 24, 36, 38, 46, 57, 69, 72, 76, 92, 114, 138, 152, 171, 184, 207, 228, 276, 342, 414, 437, 456, 552, 684, 828, 874, 1311, 1368, 1656, 1748, 2622, 3496, 3933, 5244, 7866, 10488, 15732, 31464

Factors of 31469

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

1, 31469

Least Common Multiple of 31464 and 31469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31464 and 31469, than apply into the LCM equation.

GCF(31464,31469) = 1
LCM(31464,31469) = ( 31464 × 31469) / 1
LCM(31464,31469) = 990140616 / 1
LCM(31464,31469) = 990140616

Properties of LCM 31464 and 31469

(i) The LCM of 31469 and 31464 is associative

LCM of 31464 and 31469 = LCM of 31469 and 31464

Related Least Common Multiples of 31464

Related Least Common Multiples of 31469

Frequently Asked Questions on LCM of 31464 and 31469

1. What is the LCM of 31464 and 31469?

Answer: LCM of 31464 and 31469 is 990140616.

2. What are the Factors of 31464?

Answer: Factors of 31464 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 23, 24, 36, 38, 46, 57, 69, 72, 76, 92, 114, 138, 152, 171, 184, 207, 228, 276, 342, 414, 437, 456, 552, 684, 828, 874, 1311, 1368, 1656, 1748, 2622, 3496, 3933, 5244, 7866, 10488, 15732, 31464. There are 48 integers that are factors of 31464. The greatest factor of 31464 is 31464.

3. 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.

4. How to Find the LCM of 31464 and 31469?

Answer:

Least Common Multiple of 31464 and 31469 = 990140616

Step 1: Find the prime factorization of 31464

31464 = 2 x 2 x 2 x 3 x 3 x 19 x 23

Step 2: Find the prime factorization of 31469

31469 = 31469

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

LCM = 990140616 = 2 x 2 x 2 x 3 x 3 x 19 x 23 x 31469

Step 4: Therefore, the least common multiple of 31464 and 31469 is 990140616.