Least Common Multiple of 31485 and 31489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31485 and 31489 the smallest integer that is 991431165 that is divisible by both numbers.

Least Common Multiple (LCM) of 31485 and 31489 is 991431165.

LCM(31485,31489) = 991431165

LCM of 31485 and 31489

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

LCM of:
and

Least Common Multiple of 31485 and 31489

LCM of 31485 and 31489 is 991431165

Least common multiple can be found by multiplying the highest exponent prime factors of 31485 and 31489. First we will calculate the prime factors of 31485 and 31489.

Prime Factorization of 31485


3 31485
5 10495
2099 2099
1

Prime factors of 31485 are 3, 5,2099. Prime factorization of 31485 in exponential form is:

31485 = 31×51×20991

Prime Factorization of 31489


31489 31489
1

Prime factors of 31489 are 31489. Prime factorization of 31489 in exponential form is:

31489 = 314891

Now multiplying the highest exponent prime factors to calculate the LCM of 31485 and 31489.

LCM(31485,31489) = 31×51×20991×314891
LCM(31485,31489) = 991431165

Factors of 31485

List of positive integer factors of 31485 that divides 31485 without a remainder.

1, 3, 5, 15, 2099, 6297, 10495, 31485

Factors of 31489

List of positive integer factors of 31489 that divides 31489 without a remainder.

1, 31489

Least Common Multiple of 31485 and 31489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31485 and 31489, than apply into the LCM equation.

GCF(31485,31489) = 1
LCM(31485,31489) = ( 31485 × 31489) / 1
LCM(31485,31489) = 991431165 / 1
LCM(31485,31489) = 991431165

Properties of LCM 31485 and 31489

(i) The LCM of 31489 and 31485 is associative

LCM of 31485 and 31489 = LCM of 31489 and 31485

Related Least Common Multiples of 31485

Related Least Common Multiples of 31489

Frequently Asked Questions on LCM of 31485 and 31489

1. What is the LCM of 31485 and 31489?

Answer: LCM of 31485 and 31489 is 991431165.

2. What are the Factors of 31485?

Answer: Factors of 31485 are 1, 3, 5, 15, 2099, 6297, 10495, 31485. There are 8 integers that are factors of 31485. The greatest factor of 31485 is 31485.

3. What are the Factors of 31489?

Answer: Factors of 31489 are 1, 31489. There are 2 integers that are factors of 31489. The greatest factor of 31489 is 31489.

4. How to Find the LCM of 31485 and 31489?

Answer:

Least Common Multiple of 31485 and 31489 = 991431165

Step 1: Find the prime factorization of 31485

31485 = 3 x 5 x 2099

Step 2: Find the prime factorization of 31489

31489 = 31489

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

LCM = 991431165 = 3 x 5 x 2099 x 31489

Step 4: Therefore, the least common multiple of 31485 and 31489 is 991431165.