Least Common Multiple of 29000 and 29007

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 29007 the smallest integer that is 841203000 that is divisible by both numbers.

Least Common Multiple (LCM) of 29000 and 29007 is 841203000.

LCM(29000,29007) = 841203000

LCM of 29000 and 29007

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

LCM of:
and

Least Common Multiple of 29000 and 29007

LCM of 29000 and 29007 is 841203000

Least common multiple can be found by multiplying the highest exponent prime factors of 29000 and 29007. First we will calculate the prime factors of 29000 and 29007.

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 29007


3 29007
3 9669
11 3223
293 293
1

Prime factors of 29007 are 3, 11,293. Prime factorization of 29007 in exponential form is:

29007 = 32×111×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 29000 and 29007.

LCM(29000,29007) = 23×32×53×111×291×2931
LCM(29000,29007) = 841203000

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 29007

List of positive integer factors of 29007 that divides 29007 without a remainder.

1, 3, 9, 11, 33, 99, 293, 879, 2637, 3223, 9669, 29007

Least Common Multiple of 29000 and 29007 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 29007, than apply into the LCM equation.

GCF(29000,29007) = 1
LCM(29000,29007) = ( 29000 × 29007) / 1
LCM(29000,29007) = 841203000 / 1
LCM(29000,29007) = 841203000

Properties of LCM 29000 and 29007

(i) The LCM of 29007 and 29000 is associative

LCM of 29000 and 29007 = LCM of 29007 and 29000

Related Least Common Multiples of 29000

Related Least Common Multiples of 29007

Frequently Asked Questions on LCM of 29000 and 29007

1. What is the LCM of 29000 and 29007?

Answer: LCM of 29000 and 29007 is 841203000.

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 29007?

Answer: Factors of 29007 are 1, 3, 9, 11, 33, 99, 293, 879, 2637, 3223, 9669, 29007. There are 12 integers that are factors of 29007. The greatest factor of 29007 is 29007.

4. How to Find the LCM of 29000 and 29007?

Answer:

Least Common Multiple of 29000 and 29007 = 841203000

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 29007

29007 = 3 x 3 x 11 x 293

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

LCM = 841203000 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 11 x 29 x 293

Step 4: Therefore, the least common multiple of 29000 and 29007 is 841203000.