Least Common Multiple of 31485 and 31491

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 31491 the smallest integer that is 330498045 that is divisible by both numbers.

Least Common Multiple (LCM) of 31485 and 31491 is 330498045.

LCM(31485,31491) = 330498045

LCM of 31485 and 31491

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

LCM of:
and

Least Common Multiple of 31485 and 31491

LCM of 31485 and 31491 is 330498045

Least common multiple can be found by multiplying the highest exponent prime factors of 31485 and 31491. First we will calculate the prime factors of 31485 and 31491.

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 31491


3 31491
3 10497
3499 3499
1

Prime factors of 31491 are 3,3499. Prime factorization of 31491 in exponential form is:

31491 = 32×34991

Now multiplying the highest exponent prime factors to calculate the LCM of 31485 and 31491.

LCM(31485,31491) = 32×51×20991×34991
LCM(31485,31491) = 330498045

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 31491

List of positive integer factors of 31491 that divides 31491 without a remainder.

1, 3, 9, 3499, 10497, 31491

Least Common Multiple of 31485 and 31491 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 31491, than apply into the LCM equation.

GCF(31485,31491) = 3
LCM(31485,31491) = ( 31485 × 31491) / 3
LCM(31485,31491) = 991494135 / 3
LCM(31485,31491) = 330498045

Properties of LCM 31485 and 31491

(i) The LCM of 31491 and 31485 is associative

LCM of 31485 and 31491 = LCM of 31491 and 31485

Related Least Common Multiples of 31485

Related Least Common Multiples of 31491

Frequently Asked Questions on LCM of 31485 and 31491

1. What is the LCM of 31485 and 31491?

Answer: LCM of 31485 and 31491 is 330498045.

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 31491?

Answer: Factors of 31491 are 1, 3, 9, 3499, 10497, 31491. There are 6 integers that are factors of 31491. The greatest factor of 31491 is 31491.

4. How to Find the LCM of 31485 and 31491?

Answer:

Least Common Multiple of 31485 and 31491 = 330498045

Step 1: Find the prime factorization of 31485

31485 = 3 x 5 x 2099

Step 2: Find the prime factorization of 31491

31491 = 3 x 3 x 3499

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

LCM = 330498045 = 3 x 3 x 5 x 2099 x 3499

Step 4: Therefore, the least common multiple of 31485 and 31491 is 330498045.