Least Common Multiple of 31489 and 31493

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 31493 the smallest integer that is 991683077 that is divisible by both numbers.

Least Common Multiple (LCM) of 31489 and 31493 is 991683077.

LCM(31489,31493) = 991683077

LCM of 31489 and 31493

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

LCM of:
and

Least Common Multiple of 31489 and 31493

LCM of 31489 and 31493 is 991683077

Least common multiple can be found by multiplying the highest exponent prime factors of 31489 and 31493. First we will calculate the prime factors of 31489 and 31493.

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 31493


7 31493
11 4499
409 409
1

Prime factors of 31493 are 7, 11,409. Prime factorization of 31493 in exponential form is:

31493 = 71×111×4091

Now multiplying the highest exponent prime factors to calculate the LCM of 31489 and 31493.

LCM(31489,31493) = 71×111×4091×314891
LCM(31489,31493) = 991683077

Factors of 31489

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

1, 31489

Factors of 31493

List of positive integer factors of 31493 that divides 31493 without a remainder.

1, 7, 11, 77, 409, 2863, 4499, 31493

Least Common Multiple of 31489 and 31493 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 31493, than apply into the LCM equation.

GCF(31489,31493) = 1
LCM(31489,31493) = ( 31489 × 31493) / 1
LCM(31489,31493) = 991683077 / 1
LCM(31489,31493) = 991683077

Properties of LCM 31489 and 31493

(i) The LCM of 31493 and 31489 is associative

LCM of 31489 and 31493 = LCM of 31493 and 31489

Related Least Common Multiples of 31489

Related Least Common Multiples of 31493

Frequently Asked Questions on LCM of 31489 and 31493

1. What is the LCM of 31489 and 31493?

Answer: LCM of 31489 and 31493 is 991683077.

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 31493?

Answer: Factors of 31493 are 1, 7, 11, 77, 409, 2863, 4499, 31493. There are 8 integers that are factors of 31493. The greatest factor of 31493 is 31493.

4. How to Find the LCM of 31489 and 31493?

Answer:

Least Common Multiple of 31489 and 31493 = 991683077

Step 1: Find the prime factorization of 31489

31489 = 31489

Step 2: Find the prime factorization of 31493

31493 = 7 x 11 x 409

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

LCM = 991683077 = 7 x 11 x 409 x 31489

Step 4: Therefore, the least common multiple of 31489 and 31493 is 991683077.