Least Common Multiple of 8984 and 8992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8984 and 8992 the smallest integer that is 10098016 that is divisible by both numbers.

Least Common Multiple (LCM) of 8984 and 8992 is 10098016.

LCM(8984,8992) = 10098016

LCM of 8984 and 8992

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

LCM of:
and

Least Common Multiple of 8984 and 8992

LCM of 8984 and 8992 is 10098016

Least common multiple can be found by multiplying the highest exponent prime factors of 8984 and 8992. First we will calculate the prime factors of 8984 and 8992.

Prime Factorization of 8984


2 8984
2 4492
2 2246
1123 1123
1

Prime factors of 8984 are 2,1123. Prime factorization of 8984 in exponential form is:

8984 = 23×11231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8984 and 8992.

LCM(8984,8992) = 25×2811×11231
LCM(8984,8992) = 10098016

Factors of 8984

List of positive integer factors of 8984 that divides 8984 without a remainder.

1, 2, 4, 8, 1123, 2246, 4492, 8984

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

Least Common Multiple of 8984 and 8992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8984 and 8992, than apply into the LCM equation.

GCF(8984,8992) = 8
LCM(8984,8992) = ( 8984 × 8992) / 8
LCM(8984,8992) = 80784128 / 8
LCM(8984,8992) = 10098016

Properties of LCM 8984 and 8992

(i) The LCM of 8992 and 8984 is associative

LCM of 8984 and 8992 = LCM of 8992 and 8984

Related Least Common Multiples of 8984

Related Least Common Multiples of 8992

Frequently Asked Questions on LCM of 8984 and 8992

1. What is the LCM of 8984 and 8992?

Answer: LCM of 8984 and 8992 is 10098016.

2. What are the Factors of 8984?

Answer: Factors of 8984 are 1, 2, 4, 8, 1123, 2246, 4492, 8984. There are 8 integers that are factors of 8984. The greatest factor of 8984 is 8984.

3. 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.

4. How to Find the LCM of 8984 and 8992?

Answer:

Least Common Multiple of 8984 and 8992 = 10098016

Step 1: Find the prime factorization of 8984

8984 = 2 x 2 x 2 x 1123

Step 2: Find the prime factorization of 8992

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

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

LCM = 10098016 = 2 x 2 x 2 x 2 x 2 x 281 x 1123

Step 4: Therefore, the least common multiple of 8984 and 8992 is 10098016.