Least Common Multiple of 31489 and 31497

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 31497 the smallest integer that is 991809033 that is divisible by both numbers.

Least Common Multiple (LCM) of 31489 and 31497 is 991809033.

LCM(31489,31497) = 991809033

LCM of 31489 and 31497

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

LCM of:
and

Least Common Multiple of 31489 and 31497

LCM of 31489 and 31497 is 991809033

Least common multiple can be found by multiplying the highest exponent prime factors of 31489 and 31497. First we will calculate the prime factors of 31489 and 31497.

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 31497


3 31497
10499 10499
1

Prime factors of 31497 are 3,10499. Prime factorization of 31497 in exponential form is:

31497 = 31×104991

Now multiplying the highest exponent prime factors to calculate the LCM of 31489 and 31497.

LCM(31489,31497) = 31×104991×314891
LCM(31489,31497) = 991809033

Factors of 31489

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

1, 31489

Factors of 31497

List of positive integer factors of 31497 that divides 31497 without a remainder.

1, 3, 10499, 31497

Least Common Multiple of 31489 and 31497 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 31497, than apply into the LCM equation.

GCF(31489,31497) = 1
LCM(31489,31497) = ( 31489 × 31497) / 1
LCM(31489,31497) = 991809033 / 1
LCM(31489,31497) = 991809033

Properties of LCM 31489 and 31497

(i) The LCM of 31497 and 31489 is associative

LCM of 31489 and 31497 = LCM of 31497 and 31489

Related Least Common Multiples of 31489

Related Least Common Multiples of 31497

Frequently Asked Questions on LCM of 31489 and 31497

1. What is the LCM of 31489 and 31497?

Answer: LCM of 31489 and 31497 is 991809033.

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 31497?

Answer: Factors of 31497 are 1, 3, 10499, 31497. There are 4 integers that are factors of 31497. The greatest factor of 31497 is 31497.

4. How to Find the LCM of 31489 and 31497?

Answer:

Least Common Multiple of 31489 and 31497 = 991809033

Step 1: Find the prime factorization of 31489

31489 = 31489

Step 2: Find the prime factorization of 31497

31497 = 3 x 10499

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

LCM = 991809033 = 3 x 10499 x 31489

Step 4: Therefore, the least common multiple of 31489 and 31497 is 991809033.