Least Common Multiple of 29004 and 29008

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 29004 and 29008 the smallest integer that is 210337008 that is divisible by both numbers.

Least Common Multiple (LCM) of 29004 and 29008 is 210337008.

LCM(29004,29008) = 210337008

LCM of 29004 and 29008

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

LCM of:
and

Least Common Multiple of 29004 and 29008

LCM of 29004 and 29008 is 210337008

Least common multiple can be found by multiplying the highest exponent prime factors of 29004 and 29008. First we will calculate the prime factors of 29004 and 29008.

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

Prime Factorization of 29008


2 29008
2 14504
2 7252
2 3626
7 1813
7 259
37 37
1

Prime factors of 29008 are 2, 7,37. Prime factorization of 29008 in exponential form is:

29008 = 24×72×371

Now multiplying the highest exponent prime factors to calculate the LCM of 29004 and 29008.

LCM(29004,29008) = 24×31×72×371×24171
LCM(29004,29008) = 210337008

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

Factors of 29008

List of positive integer factors of 29008 that divides 29008 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 37, 49, 56, 74, 98, 112, 148, 196, 259, 296, 392, 518, 592, 784, 1036, 1813, 2072, 3626, 4144, 7252, 14504, 29008

Least Common Multiple of 29004 and 29008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29004 and 29008, than apply into the LCM equation.

GCF(29004,29008) = 4
LCM(29004,29008) = ( 29004 × 29008) / 4
LCM(29004,29008) = 841348032 / 4
LCM(29004,29008) = 210337008

Properties of LCM 29004 and 29008

(i) The LCM of 29008 and 29004 is associative

LCM of 29004 and 29008 = LCM of 29008 and 29004

Related Least Common Multiples of 29004

Related Least Common Multiples of 29008

Frequently Asked Questions on LCM of 29004 and 29008

1. What is the LCM of 29004 and 29008?

Answer: LCM of 29004 and 29008 is 210337008.

2. 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.

3. What are the Factors of 29008?

Answer: Factors of 29008 are 1, 2, 4, 7, 8, 14, 16, 28, 37, 49, 56, 74, 98, 112, 148, 196, 259, 296, 392, 518, 592, 784, 1036, 1813, 2072, 3626, 4144, 7252, 14504, 29008. There are 30 integers that are factors of 29008. The greatest factor of 29008 is 29008.

4. How to Find the LCM of 29004 and 29008?

Answer:

Least Common Multiple of 29004 and 29008 = 210337008

Step 1: Find the prime factorization of 29004

29004 = 2 x 2 x 3 x 2417

Step 2: Find the prime factorization of 29008

29008 = 2 x 2 x 2 x 2 x 7 x 7 x 37

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

LCM = 210337008 = 2 x 2 x 2 x 2 x 3 x 7 x 7 x 37 x 2417

Step 4: Therefore, the least common multiple of 29004 and 29008 is 210337008.