Least Common Multiple of 29000 and 29004

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 29004 the smallest integer that is 210279000 that is divisible by both numbers.

Least Common Multiple (LCM) of 29000 and 29004 is 210279000.

LCM(29000,29004) = 210279000

LCM of 29000 and 29004

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

LCM of:
and

Least Common Multiple of 29000 and 29004

LCM of 29000 and 29004 is 210279000

Least common multiple can be found by multiplying the highest exponent prime factors of 29000 and 29004. First we will calculate the prime factors of 29000 and 29004.

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 29004


2 29004
2 14502
3 7251
2417 2417
1

Prime factors of 29004 are 2, 3,2417. Prime factorization of 29004 in exponential form is:

29004 = 22×31×24171

Now multiplying the highest exponent prime factors to calculate the LCM of 29000 and 29004.

LCM(29000,29004) = 23×31×53×291×24171
LCM(29000,29004) = 210279000

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 29004

List of positive integer factors of 29004 that divides 29004 without a remainder.

1, 2, 3, 4, 6, 12, 2417, 4834, 7251, 9668, 14502, 29004

Least Common Multiple of 29000 and 29004 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 29004, than apply into the LCM equation.

GCF(29000,29004) = 4
LCM(29000,29004) = ( 29000 × 29004) / 4
LCM(29000,29004) = 841116000 / 4
LCM(29000,29004) = 210279000

Properties of LCM 29000 and 29004

(i) The LCM of 29004 and 29000 is associative

LCM of 29000 and 29004 = LCM of 29004 and 29000

Related Least Common Multiples of 29000

Related Least Common Multiples of 29004

Frequently Asked Questions on LCM of 29000 and 29004

1. What is the LCM of 29000 and 29004?

Answer: LCM of 29000 and 29004 is 210279000.

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 29004?

Answer: Factors of 29004 are 1, 2, 3, 4, 6, 12, 2417, 4834, 7251, 9668, 14502, 29004. There are 12 integers that are factors of 29004. The greatest factor of 29004 is 29004.

4. How to Find the LCM of 29000 and 29004?

Answer:

Least Common Multiple of 29000 and 29004 = 210279000

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 29004

29004 = 2 x 2 x 3 x 2417

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

LCM = 210279000 = 2 x 2 x 2 x 3 x 5 x 5 x 5 x 29 x 2417

Step 4: Therefore, the least common multiple of 29000 and 29004 is 210279000.