Least Common Multiple of 8492 and 8496

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 8496 the smallest integer that is 18037008 that is divisible by both numbers.

Least Common Multiple (LCM) of 8492 and 8496 is 18037008.

LCM(8492,8496) = 18037008

LCM of 8492 and 8496

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

LCM of:
and

Least Common Multiple of 8492 and 8496

LCM of 8492 and 8496 is 18037008

Least common multiple can be found by multiplying the highest exponent prime factors of 8492 and 8496. First we will calculate the prime factors of 8492 and 8496.

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 8496


2 8496
2 4248
2 2124
2 1062
3 531
3 177
59 59
1

Prime factors of 8496 are 2, 3,59. Prime factorization of 8496 in exponential form is:

8496 = 24×32×591

Now multiplying the highest exponent prime factors to calculate the LCM of 8492 and 8496.

LCM(8492,8496) = 24×32×111×591×1931
LCM(8492,8496) = 18037008

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 8496

List of positive integer factors of 8496 that divides 8496 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 59, 72, 118, 144, 177, 236, 354, 472, 531, 708, 944, 1062, 1416, 2124, 2832, 4248, 8496

Least Common Multiple of 8492 and 8496 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 8496, than apply into the LCM equation.

GCF(8492,8496) = 4
LCM(8492,8496) = ( 8492 × 8496) / 4
LCM(8492,8496) = 72148032 / 4
LCM(8492,8496) = 18037008

Properties of LCM 8492 and 8496

(i) The LCM of 8496 and 8492 is associative

LCM of 8492 and 8496 = LCM of 8496 and 8492

Related Least Common Multiples of 8492

Related Least Common Multiples of 8496

Frequently Asked Questions on LCM of 8492 and 8496

1. What is the LCM of 8492 and 8496?

Answer: LCM of 8492 and 8496 is 18037008.

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 8496?

Answer: Factors of 8496 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 59, 72, 118, 144, 177, 236, 354, 472, 531, 708, 944, 1062, 1416, 2124, 2832, 4248, 8496. There are 30 integers that are factors of 8496. The greatest factor of 8496 is 8496.

4. How to Find the LCM of 8492 and 8496?

Answer:

Least Common Multiple of 8492 and 8496 = 18037008

Step 1: Find the prime factorization of 8492

8492 = 2 x 2 x 11 x 193

Step 2: Find the prime factorization of 8496

8496 = 2 x 2 x 2 x 2 x 3 x 3 x 59

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

LCM = 18037008 = 2 x 2 x 2 x 2 x 3 x 3 x 11 x 59 x 193

Step 4: Therefore, the least common multiple of 8492 and 8496 is 18037008.