Least Common Multiple of 8992 and 8996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8992 and 8996 the smallest integer that is 20223008 that is divisible by both numbers.

Least Common Multiple (LCM) of 8992 and 8996 is 20223008.

LCM(8992,8996) = 20223008

LCM of 8992 and 8996

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

LCM of:
and

Least Common Multiple of 8992 and 8996

LCM of 8992 and 8996 is 20223008

Least common multiple can be found by multiplying the highest exponent prime factors of 8992 and 8996. First we will calculate the prime factors of 8992 and 8996.

Prime Factorization of 8992


2 8992
2 4496
2 2248
2 1124
2 562
281 281
1

Prime factors of 8992 are 2,281. Prime factorization of 8992 in exponential form is:

8992 = 25×2811

Prime Factorization of 8996


2 8996
2 4498
13 2249
173 173
1

Prime factors of 8996 are 2, 13,173. Prime factorization of 8996 in exponential form is:

8996 = 22×131×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 8992 and 8996.

LCM(8992,8996) = 25×131×1731×2811
LCM(8992,8996) = 20223008

Factors of 8992

List of positive integer factors of 8992 that divides 8992 without a remainder.

1, 2, 4, 8, 16, 32, 281, 562, 1124, 2248, 4496, 8992

Factors of 8996

List of positive integer factors of 8996 that divides 8996 without a remainder.

1, 2, 4, 13, 26, 52, 173, 346, 692, 2249, 4498, 8996

Least Common Multiple of 8992 and 8996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8992 and 8996, than apply into the LCM equation.

GCF(8992,8996) = 4
LCM(8992,8996) = ( 8992 × 8996) / 4
LCM(8992,8996) = 80892032 / 4
LCM(8992,8996) = 20223008

Properties of LCM 8992 and 8996

(i) The LCM of 8996 and 8992 is associative

LCM of 8992 and 8996 = LCM of 8996 and 8992

Related Least Common Multiples of 8992

Related Least Common Multiples of 8996

Frequently Asked Questions on LCM of 8992 and 8996

1. What is the LCM of 8992 and 8996?

Answer: LCM of 8992 and 8996 is 20223008.

2. What are the Factors of 8992?

Answer: Factors of 8992 are 1, 2, 4, 8, 16, 32, 281, 562, 1124, 2248, 4496, 8992. There are 12 integers that are factors of 8992. The greatest factor of 8992 is 8992.

3. What are the Factors of 8996?

Answer: Factors of 8996 are 1, 2, 4, 13, 26, 52, 173, 346, 692, 2249, 4498, 8996. There are 12 integers that are factors of 8996. The greatest factor of 8996 is 8996.

4. How to Find the LCM of 8992 and 8996?

Answer:

Least Common Multiple of 8992 and 8996 = 20223008

Step 1: Find the prime factorization of 8992

8992 = 2 x 2 x 2 x 2 x 2 x 281

Step 2: Find the prime factorization of 8996

8996 = 2 x 2 x 13 x 173

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

LCM = 20223008 = 2 x 2 x 2 x 2 x 2 x 13 x 173 x 281

Step 4: Therefore, the least common multiple of 8992 and 8996 is 20223008.