Least Common Multiple of 31489 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 31489 and 31495 the smallest integer that is 991746055 that is divisible by both numbers.

Least Common Multiple (LCM) of 31489 and 31495 is 991746055.

LCM(31489,31495) = 991746055

LCM of 31489 and 31495

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

LCM of:
and

Least Common Multiple of 31489 and 31495

LCM of 31489 and 31495 is 991746055

Least common multiple can be found by multiplying the highest exponent prime factors of 31489 and 31495. First we will calculate the prime factors of 31489 and 31495.

Prime Factorization of 31489


31489 31489
1

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

31489 = 314891

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 31489 and 31495.

LCM(31489,31495) = 51×62991×314891
LCM(31489,31495) = 991746055

Factors of 31489

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

1, 31489

Factors of 31495

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

1, 5, 6299, 31495

Least Common Multiple of 31489 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 31489 and 31495, than apply into the LCM equation.

GCF(31489,31495) = 1
LCM(31489,31495) = ( 31489 × 31495) / 1
LCM(31489,31495) = 991746055 / 1
LCM(31489,31495) = 991746055

Properties of LCM 31489 and 31495

(i) The LCM of 31495 and 31489 is associative

LCM of 31489 and 31495 = LCM of 31495 and 31489

Related Least Common Multiples of 31489

Related Least Common Multiples of 31495

Frequently Asked Questions on LCM of 31489 and 31495

1. What is the LCM of 31489 and 31495?

Answer: LCM of 31489 and 31495 is 991746055.

2. 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.

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 31489 and 31495?

Answer:

Least Common Multiple of 31489 and 31495 = 991746055

Step 1: Find the prime factorization of 31489

31489 = 31489

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 = 991746055 = 5 x 6299 x 31489

Step 4: Therefore, the least common multiple of 31489 and 31495 is 991746055.