Least Common Multiple of 8492 and 8498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8492 and 8498 the smallest integer that is 36082508 that is divisible by both numbers.

Least Common Multiple (LCM) of 8492 and 8498 is 36082508.

LCM(8492,8498) = 36082508

LCM of 8492 and 8498

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

LCM of:
and

Least Common Multiple of 8492 and 8498

LCM of 8492 and 8498 is 36082508

Least common multiple can be found by multiplying the highest exponent prime factors of 8492 and 8498. First we will calculate the prime factors of 8492 and 8498.

Prime Factorization of 8492


2 8492
2 4246
11 2123
193 193
1

Prime factors of 8492 are 2, 11,193. Prime factorization of 8492 in exponential form is:

8492 = 22×111×1931

Prime Factorization of 8498


2 8498
7 4249
607 607
1

Prime factors of 8498 are 2, 7,607. Prime factorization of 8498 in exponential form is:

8498 = 21×71×6071

Now multiplying the highest exponent prime factors to calculate the LCM of 8492 and 8498.

LCM(8492,8498) = 22×71×111×1931×6071
LCM(8492,8498) = 36082508

Factors of 8492

List of positive integer factors of 8492 that divides 8492 without a remainder.

1, 2, 4, 11, 22, 44, 193, 386, 772, 2123, 4246, 8492

Factors of 8498

List of positive integer factors of 8498 that divides 8498 without a remainder.

1, 2, 7, 14, 607, 1214, 4249, 8498

Least Common Multiple of 8492 and 8498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8492 and 8498, than apply into the LCM equation.

GCF(8492,8498) = 2
LCM(8492,8498) = ( 8492 × 8498) / 2
LCM(8492,8498) = 72165016 / 2
LCM(8492,8498) = 36082508

Properties of LCM 8492 and 8498

(i) The LCM of 8498 and 8492 is associative

LCM of 8492 and 8498 = LCM of 8498 and 8492

Related Least Common Multiples of 8492

Related Least Common Multiples of 8498

Frequently Asked Questions on LCM of 8492 and 8498

1. What is the LCM of 8492 and 8498?

Answer: LCM of 8492 and 8498 is 36082508.

2. What are the Factors of 8492?

Answer: Factors of 8492 are 1, 2, 4, 11, 22, 44, 193, 386, 772, 2123, 4246, 8492. There are 12 integers that are factors of 8492. The greatest factor of 8492 is 8492.

3. What are the Factors of 8498?

Answer: Factors of 8498 are 1, 2, 7, 14, 607, 1214, 4249, 8498. There are 8 integers that are factors of 8498. The greatest factor of 8498 is 8498.

4. How to Find the LCM of 8492 and 8498?

Answer:

Least Common Multiple of 8492 and 8498 = 36082508

Step 1: Find the prime factorization of 8492

8492 = 2 x 2 x 11 x 193

Step 2: Find the prime factorization of 8498

8498 = 2 x 7 x 607

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

LCM = 36082508 = 2 x 2 x 7 x 11 x 193 x 607

Step 4: Therefore, the least common multiple of 8492 and 8498 is 36082508.