Least Common Multiple of 31493 and 31498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31493 and 31498 the smallest integer that is 991966514 that is divisible by both numbers.

Least Common Multiple (LCM) of 31493 and 31498 is 991966514.

LCM(31493,31498) = 991966514

LCM of 31493 and 31498

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

LCM of:
and

Least Common Multiple of 31493 and 31498

LCM of 31493 and 31498 is 991966514

Least common multiple can be found by multiplying the highest exponent prime factors of 31493 and 31498. First we will calculate the prime factors of 31493 and 31498.

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

Prime Factorization of 31498


2 31498
15749 15749
1

Prime factors of 31498 are 2,15749. Prime factorization of 31498 in exponential form is:

31498 = 21×157491

Now multiplying the highest exponent prime factors to calculate the LCM of 31493 and 31498.

LCM(31493,31498) = 21×71×111×4091×157491
LCM(31493,31498) = 991966514

Factors of 31493

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

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

Factors of 31498

List of positive integer factors of 31498 that divides 31498 without a remainder.

1, 2, 15749, 31498

Least Common Multiple of 31493 and 31498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31493 and 31498, than apply into the LCM equation.

GCF(31493,31498) = 1
LCM(31493,31498) = ( 31493 × 31498) / 1
LCM(31493,31498) = 991966514 / 1
LCM(31493,31498) = 991966514

Properties of LCM 31493 and 31498

(i) The LCM of 31498 and 31493 is associative

LCM of 31493 and 31498 = LCM of 31498 and 31493

Related Least Common Multiples of 31493

Related Least Common Multiples of 31498

Frequently Asked Questions on LCM of 31493 and 31498

1. What is the LCM of 31493 and 31498?

Answer: LCM of 31493 and 31498 is 991966514.

2. 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.

3. What are the Factors of 31498?

Answer: Factors of 31498 are 1, 2, 15749, 31498. There are 4 integers that are factors of 31498. The greatest factor of 31498 is 31498.

4. How to Find the LCM of 31493 and 31498?

Answer:

Least Common Multiple of 31493 and 31498 = 991966514

Step 1: Find the prime factorization of 31493

31493 = 7 x 11 x 409

Step 2: Find the prime factorization of 31498

31498 = 2 x 15749

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

LCM = 991966514 = 2 x 7 x 11 x 409 x 15749

Step 4: Therefore, the least common multiple of 31493 and 31498 is 991966514.