Least Common Multiple of 29000 and 29002

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 29002 the smallest integer that is 420529000 that is divisible by both numbers.

Least Common Multiple (LCM) of 29000 and 29002 is 420529000.

LCM(29000,29002) = 420529000

LCM of 29000 and 29002

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

LCM of:
and

Least Common Multiple of 29000 and 29002

LCM of 29000 and 29002 is 420529000

Least common multiple can be found by multiplying the highest exponent prime factors of 29000 and 29002. First we will calculate the prime factors of 29000 and 29002.

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 29002


2 29002
17 14501
853 853
1

Prime factors of 29002 are 2, 17,853. Prime factorization of 29002 in exponential form is:

29002 = 21×171×8531

Now multiplying the highest exponent prime factors to calculate the LCM of 29000 and 29002.

LCM(29000,29002) = 23×53×171×291×8531
LCM(29000,29002) = 420529000

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 29002

List of positive integer factors of 29002 that divides 29002 without a remainder.

1, 2, 17, 34, 853, 1706, 14501, 29002

Least Common Multiple of 29000 and 29002 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 29002, than apply into the LCM equation.

GCF(29000,29002) = 2
LCM(29000,29002) = ( 29000 × 29002) / 2
LCM(29000,29002) = 841058000 / 2
LCM(29000,29002) = 420529000

Properties of LCM 29000 and 29002

(i) The LCM of 29002 and 29000 is associative

LCM of 29000 and 29002 = LCM of 29002 and 29000

Related Least Common Multiples of 29000

Related Least Common Multiples of 29002

Frequently Asked Questions on LCM of 29000 and 29002

1. What is the LCM of 29000 and 29002?

Answer: LCM of 29000 and 29002 is 420529000.

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 29002?

Answer: Factors of 29002 are 1, 2, 17, 34, 853, 1706, 14501, 29002. There are 8 integers that are factors of 29002. The greatest factor of 29002 is 29002.

4. How to Find the LCM of 29000 and 29002?

Answer:

Least Common Multiple of 29000 and 29002 = 420529000

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 29002

29002 = 2 x 17 x 853

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

LCM = 420529000 = 2 x 2 x 2 x 5 x 5 x 5 x 17 x 29 x 853

Step 4: Therefore, the least common multiple of 29000 and 29002 is 420529000.