Least Common Multiple of 8992 and 8998

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 8998 the smallest integer that is 40455008 that is divisible by both numbers.

Least Common Multiple (LCM) of 8992 and 8998 is 40455008.

LCM(8992,8998) = 40455008

LCM of 8992 and 8998

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

LCM of:
and

Least Common Multiple of 8992 and 8998

LCM of 8992 and 8998 is 40455008

Least common multiple can be found by multiplying the highest exponent prime factors of 8992 and 8998. First we will calculate the prime factors of 8992 and 8998.

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 8998


2 8998
11 4499
409 409
1

Prime factors of 8998 are 2, 11,409. Prime factorization of 8998 in exponential form is:

8998 = 21×111×4091

Now multiplying the highest exponent prime factors to calculate the LCM of 8992 and 8998.

LCM(8992,8998) = 25×111×2811×4091
LCM(8992,8998) = 40455008

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 8998

List of positive integer factors of 8998 that divides 8998 without a remainder.

1, 2, 11, 22, 409, 818, 4499, 8998

Least Common Multiple of 8992 and 8998 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 8998, than apply into the LCM equation.

GCF(8992,8998) = 2
LCM(8992,8998) = ( 8992 × 8998) / 2
LCM(8992,8998) = 80910016 / 2
LCM(8992,8998) = 40455008

Properties of LCM 8992 and 8998

(i) The LCM of 8998 and 8992 is associative

LCM of 8992 and 8998 = LCM of 8998 and 8992

Related Least Common Multiples of 8992

Related Least Common Multiples of 8998

Frequently Asked Questions on LCM of 8992 and 8998

1. What is the LCM of 8992 and 8998?

Answer: LCM of 8992 and 8998 is 40455008.

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 8998?

Answer: Factors of 8998 are 1, 2, 11, 22, 409, 818, 4499, 8998. There are 8 integers that are factors of 8998. The greatest factor of 8998 is 8998.

4. How to Find the LCM of 8992 and 8998?

Answer:

Least Common Multiple of 8992 and 8998 = 40455008

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 8998

8998 = 2 x 11 x 409

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

LCM = 40455008 = 2 x 2 x 2 x 2 x 2 x 11 x 281 x 409

Step 4: Therefore, the least common multiple of 8992 and 8998 is 40455008.