Least Common Multiple of 29004 and 29012

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 29012 the smallest integer that is 210366012 that is divisible by both numbers.

Least Common Multiple (LCM) of 29004 and 29012 is 210366012.

LCM(29004,29012) = 210366012

LCM of 29004 and 29012

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

LCM of:
and

Least Common Multiple of 29004 and 29012

LCM of 29004 and 29012 is 210366012

Least common multiple can be found by multiplying the highest exponent prime factors of 29004 and 29012. First we will calculate the prime factors of 29004 and 29012.

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 29012


2 29012
2 14506
7253 7253
1

Prime factors of 29012 are 2,7253. Prime factorization of 29012 in exponential form is:

29012 = 22×72531

Now multiplying the highest exponent prime factors to calculate the LCM of 29004 and 29012.

LCM(29004,29012) = 22×31×24171×72531
LCM(29004,29012) = 210366012

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 29012

List of positive integer factors of 29012 that divides 29012 without a remainder.

1, 2, 4, 7253, 14506, 29012

Least Common Multiple of 29004 and 29012 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 29012, than apply into the LCM equation.

GCF(29004,29012) = 4
LCM(29004,29012) = ( 29004 × 29012) / 4
LCM(29004,29012) = 841464048 / 4
LCM(29004,29012) = 210366012

Properties of LCM 29004 and 29012

(i) The LCM of 29012 and 29004 is associative

LCM of 29004 and 29012 = LCM of 29012 and 29004

Related Least Common Multiples of 29004

Related Least Common Multiples of 29012

Frequently Asked Questions on LCM of 29004 and 29012

1. What is the LCM of 29004 and 29012?

Answer: LCM of 29004 and 29012 is 210366012.

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 29012?

Answer: Factors of 29012 are 1, 2, 4, 7253, 14506, 29012. There are 6 integers that are factors of 29012. The greatest factor of 29012 is 29012.

4. How to Find the LCM of 29004 and 29012?

Answer:

Least Common Multiple of 29004 and 29012 = 210366012

Step 1: Find the prime factorization of 29004

29004 = 2 x 2 x 3 x 2417

Step 2: Find the prime factorization of 29012

29012 = 2 x 2 x 7253

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

LCM = 210366012 = 2 x 2 x 3 x 2417 x 7253

Step 4: Therefore, the least common multiple of 29004 and 29012 is 210366012.