Least Common Multiple of 29000 and 29001

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 29001 the smallest integer that is 841029000 that is divisible by both numbers.

Least Common Multiple (LCM) of 29000 and 29001 is 841029000.

LCM(29000,29001) = 841029000

LCM of 29000 and 29001

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

LCM of:
and

Least Common Multiple of 29000 and 29001

LCM of 29000 and 29001 is 841029000

Least common multiple can be found by multiplying the highest exponent prime factors of 29000 and 29001. First we will calculate the prime factors of 29000 and 29001.

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 29001


3 29001
7 9667
1381 1381
1

Prime factors of 29001 are 3, 7,1381. Prime factorization of 29001 in exponential form is:

29001 = 31×71×13811

Now multiplying the highest exponent prime factors to calculate the LCM of 29000 and 29001.

LCM(29000,29001) = 23×31×53×71×291×13811
LCM(29000,29001) = 841029000

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 29001

List of positive integer factors of 29001 that divides 29001 without a remainder.

1, 3, 7, 21, 1381, 4143, 9667, 29001

Least Common Multiple of 29000 and 29001 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 29001, than apply into the LCM equation.

GCF(29000,29001) = 1
LCM(29000,29001) = ( 29000 × 29001) / 1
LCM(29000,29001) = 841029000 / 1
LCM(29000,29001) = 841029000

Properties of LCM 29000 and 29001

(i) The LCM of 29001 and 29000 is associative

LCM of 29000 and 29001 = LCM of 29001 and 29000

Related Least Common Multiples of 29000

Related Least Common Multiples of 29001

Frequently Asked Questions on LCM of 29000 and 29001

1. What is the LCM of 29000 and 29001?

Answer: LCM of 29000 and 29001 is 841029000.

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 29001?

Answer: Factors of 29001 are 1, 3, 7, 21, 1381, 4143, 9667, 29001. There are 8 integers that are factors of 29001. The greatest factor of 29001 is 29001.

4. How to Find the LCM of 29000 and 29001?

Answer:

Least Common Multiple of 29000 and 29001 = 841029000

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 29001

29001 = 3 x 7 x 1381

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

LCM = 841029000 = 2 x 2 x 2 x 3 x 5 x 5 x 5 x 7 x 29 x 1381

Step 4: Therefore, the least common multiple of 29000 and 29001 is 841029000.