Least Common Multiple of 31491 and 31495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31491 and 31495 the smallest integer that is 991809045 that is divisible by both numbers.

Least Common Multiple (LCM) of 31491 and 31495 is 991809045.

LCM(31491,31495) = 991809045

LCM of 31491 and 31495

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

LCM of:
and

Least Common Multiple of 31491 and 31495

LCM of 31491 and 31495 is 991809045

Least common multiple can be found by multiplying the highest exponent prime factors of 31491 and 31495. First we will calculate the prime factors of 31491 and 31495.

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

Prime Factorization of 31495


5 31495
6299 6299
1

Prime factors of 31495 are 5,6299. Prime factorization of 31495 in exponential form is:

31495 = 51×62991

Now multiplying the highest exponent prime factors to calculate the LCM of 31491 and 31495.

LCM(31491,31495) = 32×51×34991×62991
LCM(31491,31495) = 991809045

Factors of 31491

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

1, 3, 9, 3499, 10497, 31491

Factors of 31495

List of positive integer factors of 31495 that divides 31495 without a remainder.

1, 5, 6299, 31495

Least Common Multiple of 31491 and 31495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31491 and 31495, than apply into the LCM equation.

GCF(31491,31495) = 1
LCM(31491,31495) = ( 31491 × 31495) / 1
LCM(31491,31495) = 991809045 / 1
LCM(31491,31495) = 991809045

Properties of LCM 31491 and 31495

(i) The LCM of 31495 and 31491 is associative

LCM of 31491 and 31495 = LCM of 31495 and 31491

Related Least Common Multiples of 31491

Related Least Common Multiples of 31495

Frequently Asked Questions on LCM of 31491 and 31495

1. What is the LCM of 31491 and 31495?

Answer: LCM of 31491 and 31495 is 991809045.

2. 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.

3. What are the Factors of 31495?

Answer: Factors of 31495 are 1, 5, 6299, 31495. There are 4 integers that are factors of 31495. The greatest factor of 31495 is 31495.

4. How to Find the LCM of 31491 and 31495?

Answer:

Least Common Multiple of 31491 and 31495 = 991809045

Step 1: Find the prime factorization of 31491

31491 = 3 x 3 x 3499

Step 2: Find the prime factorization of 31495

31495 = 5 x 6299

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

LCM = 991809045 = 3 x 3 x 5 x 3499 x 6299

Step 4: Therefore, the least common multiple of 31491 and 31495 is 991809045.