Least Common Multiple of 8992 and 8999

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 8999 the smallest integer that is 80919008 that is divisible by both numbers.

Least Common Multiple (LCM) of 8992 and 8999 is 80919008.

LCM(8992,8999) = 80919008

LCM of 8992 and 8999

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

LCM of:
and

Least Common Multiple of 8992 and 8999

LCM of 8992 and 8999 is 80919008

Least common multiple can be found by multiplying the highest exponent prime factors of 8992 and 8999. First we will calculate the prime factors of 8992 and 8999.

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 8999


8999 8999
1

Prime factors of 8999 are 8999. Prime factorization of 8999 in exponential form is:

8999 = 89991

Now multiplying the highest exponent prime factors to calculate the LCM of 8992 and 8999.

LCM(8992,8999) = 25×2811×89991
LCM(8992,8999) = 80919008

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 8999

List of positive integer factors of 8999 that divides 8999 without a remainder.

1, 8999

Least Common Multiple of 8992 and 8999 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 8999, than apply into the LCM equation.

GCF(8992,8999) = 1
LCM(8992,8999) = ( 8992 × 8999) / 1
LCM(8992,8999) = 80919008 / 1
LCM(8992,8999) = 80919008

Properties of LCM 8992 and 8999

(i) The LCM of 8999 and 8992 is associative

LCM of 8992 and 8999 = LCM of 8999 and 8992

Related Least Common Multiples of 8992

Related Least Common Multiples of 8999

Frequently Asked Questions on LCM of 8992 and 8999

1. What is the LCM of 8992 and 8999?

Answer: LCM of 8992 and 8999 is 80919008.

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 8999?

Answer: Factors of 8999 are 1, 8999. There are 2 integers that are factors of 8999. The greatest factor of 8999 is 8999.

4. How to Find the LCM of 8992 and 8999?

Answer:

Least Common Multiple of 8992 and 8999 = 80919008

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 8999

8999 = 8999

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

LCM = 80919008 = 2 x 2 x 2 x 2 x 2 x 281 x 8999

Step 4: Therefore, the least common multiple of 8992 and 8999 is 80919008.