Least Common Multiple of 29000 and 29005

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 29000 and 29005 the smallest integer that is 168229000 that is divisible by both numbers.

Least Common Multiple (LCM) of 29000 and 29005 is 168229000.

LCM(29000,29005) = 168229000

LCM of 29000 and 29005

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

LCM of:
and

Least Common Multiple of 29000 and 29005

LCM of 29000 and 29005 is 168229000

Least common multiple can be found by multiplying the highest exponent prime factors of 29000 and 29005. First we will calculate the prime factors of 29000 and 29005.

Prime Factorization of 29000


2 29000
2 14500
2 7250
5 3625
5 725
5 145
29 29
1

Prime factors of 29000 are 2, 5,29. Prime factorization of 29000 in exponential form is:

29000 = 23×53×291

Prime Factorization of 29005


5 29005
5801 5801
1

Prime factors of 29005 are 5,5801. Prime factorization of 29005 in exponential form is:

29005 = 51×58011

Now multiplying the highest exponent prime factors to calculate the LCM of 29000 and 29005.

LCM(29000,29005) = 23×53×291×58011
LCM(29000,29005) = 168229000

Factors of 29000

List of positive integer factors of 29000 that divides 29000 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 29, 40, 50, 58, 100, 116, 125, 145, 200, 232, 250, 290, 500, 580, 725, 1000, 1160, 1450, 2900, 3625, 5800, 7250, 14500, 29000

Factors of 29005

List of positive integer factors of 29005 that divides 29005 without a remainder.

1, 5, 5801, 29005

Least Common Multiple of 29000 and 29005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29000 and 29005, than apply into the LCM equation.

GCF(29000,29005) = 5
LCM(29000,29005) = ( 29000 × 29005) / 5
LCM(29000,29005) = 841145000 / 5
LCM(29000,29005) = 168229000

Properties of LCM 29000 and 29005

(i) The LCM of 29005 and 29000 is associative

LCM of 29000 and 29005 = LCM of 29005 and 29000

Related Least Common Multiples of 29000

Related Least Common Multiples of 29005

Frequently Asked Questions on LCM of 29000 and 29005

1. What is the LCM of 29000 and 29005?

Answer: LCM of 29000 and 29005 is 168229000.

2. What are the Factors of 29000?

Answer: Factors of 29000 are 1, 2, 4, 5, 8, 10, 20, 25, 29, 40, 50, 58, 100, 116, 125, 145, 200, 232, 250, 290, 500, 580, 725, 1000, 1160, 1450, 2900, 3625, 5800, 7250, 14500, 29000. There are 32 integers that are factors of 29000. The greatest factor of 29000 is 29000.

3. What are the Factors of 29005?

Answer: Factors of 29005 are 1, 5, 5801, 29005. There are 4 integers that are factors of 29005. The greatest factor of 29005 is 29005.

4. How to Find the LCM of 29000 and 29005?

Answer:

Least Common Multiple of 29000 and 29005 = 168229000

Step 1: Find the prime factorization of 29000

29000 = 2 x 2 x 2 x 5 x 5 x 5 x 29

Step 2: Find the prime factorization of 29005

29005 = 5 x 5801

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

LCM = 168229000 = 2 x 2 x 2 x 5 x 5 x 5 x 29 x 5801

Step 4: Therefore, the least common multiple of 29000 and 29005 is 168229000.