Least Common Multiple of 9004 and 9008

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9004 and 9008 the smallest integer that is 20277008 that is divisible by both numbers.

Least Common Multiple (LCM) of 9004 and 9008 is 20277008.

LCM(9004,9008) = 20277008

LCM of 9004 and 9008

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

LCM of:
and

Least Common Multiple of 9004 and 9008

LCM of 9004 and 9008 is 20277008

Least common multiple can be found by multiplying the highest exponent prime factors of 9004 and 9008. First we will calculate the prime factors of 9004 and 9008.

Prime Factorization of 9004


2 9004
2 4502
2251 2251
1

Prime factors of 9004 are 2,2251. Prime factorization of 9004 in exponential form is:

9004 = 22×22511

Prime Factorization of 9008


2 9008
2 4504
2 2252
2 1126
563 563
1

Prime factors of 9008 are 2,563. Prime factorization of 9008 in exponential form is:

9008 = 24×5631

Now multiplying the highest exponent prime factors to calculate the LCM of 9004 and 9008.

LCM(9004,9008) = 24×5631×22511
LCM(9004,9008) = 20277008

Factors of 9004

List of positive integer factors of 9004 that divides 9004 without a remainder.

1, 2, 4, 2251, 4502, 9004

Factors of 9008

List of positive integer factors of 9008 that divides 9008 without a remainder.

1, 2, 4, 8, 16, 563, 1126, 2252, 4504, 9008

Least Common Multiple of 9004 and 9008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9004 and 9008, than apply into the LCM equation.

GCF(9004,9008) = 4
LCM(9004,9008) = ( 9004 × 9008) / 4
LCM(9004,9008) = 81108032 / 4
LCM(9004,9008) = 20277008

Properties of LCM 9004 and 9008

(i) The LCM of 9008 and 9004 is associative

LCM of 9004 and 9008 = LCM of 9008 and 9004

Related Least Common Multiples of 9004

Related Least Common Multiples of 9008

Frequently Asked Questions on LCM of 9004 and 9008

1. What is the LCM of 9004 and 9008?

Answer: LCM of 9004 and 9008 is 20277008.

2. What are the Factors of 9004?

Answer: Factors of 9004 are 1, 2, 4, 2251, 4502, 9004. There are 6 integers that are factors of 9004. The greatest factor of 9004 is 9004.

3. What are the Factors of 9008?

Answer: Factors of 9008 are 1, 2, 4, 8, 16, 563, 1126, 2252, 4504, 9008. There are 10 integers that are factors of 9008. The greatest factor of 9008 is 9008.

4. How to Find the LCM of 9004 and 9008?

Answer:

Least Common Multiple of 9004 and 9008 = 20277008

Step 1: Find the prime factorization of 9004

9004 = 2 x 2 x 2251

Step 2: Find the prime factorization of 9008

9008 = 2 x 2 x 2 x 2 x 563

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

LCM = 20277008 = 2 x 2 x 2 x 2 x 563 x 2251

Step 4: Therefore, the least common multiple of 9004 and 9008 is 20277008.