Least Common Multiple of 31490 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 31490 and 31498 the smallest integer that is 495936010 that is divisible by both numbers.

Least Common Multiple (LCM) of 31490 and 31498 is 495936010.

LCM(31490,31498) = 495936010

LCM of 31490 and 31498

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

LCM of:
and

Least Common Multiple of 31490 and 31498

LCM of 31490 and 31498 is 495936010

Least common multiple can be found by multiplying the highest exponent prime factors of 31490 and 31498. First we will calculate the prime factors of 31490 and 31498.

Prime Factorization of 31490


2 31490
5 15745
47 3149
67 67
1

Prime factors of 31490 are 2, 5, 47,67. Prime factorization of 31490 in exponential form is:

31490 = 21×51×471×671

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 31490 and 31498.

LCM(31490,31498) = 21×51×471×671×157491
LCM(31490,31498) = 495936010

Factors of 31490

List of positive integer factors of 31490 that divides 31490 without a remainder.

1, 2, 5, 10, 47, 67, 94, 134, 235, 335, 470, 670, 3149, 6298, 15745, 31490

Factors of 31498

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

1, 2, 15749, 31498

Least Common Multiple of 31490 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 31490 and 31498, than apply into the LCM equation.

GCF(31490,31498) = 2
LCM(31490,31498) = ( 31490 × 31498) / 2
LCM(31490,31498) = 991872020 / 2
LCM(31490,31498) = 495936010

Properties of LCM 31490 and 31498

(i) The LCM of 31498 and 31490 is associative

LCM of 31490 and 31498 = LCM of 31498 and 31490

Related Least Common Multiples of 31490

Related Least Common Multiples of 31498

Frequently Asked Questions on LCM of 31490 and 31498

1. What is the LCM of 31490 and 31498?

Answer: LCM of 31490 and 31498 is 495936010.

2. What are the Factors of 31490?

Answer: Factors of 31490 are 1, 2, 5, 10, 47, 67, 94, 134, 235, 335, 470, 670, 3149, 6298, 15745, 31490. There are 16 integers that are factors of 31490. The greatest factor of 31490 is 31490.

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 31490 and 31498?

Answer:

Least Common Multiple of 31490 and 31498 = 495936010

Step 1: Find the prime factorization of 31490

31490 = 2 x 5 x 47 x 67

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 = 495936010 = 2 x 5 x 47 x 67 x 15749

Step 4: Therefore, the least common multiple of 31490 and 31498 is 495936010.