Least Common Multiple of 29004 and 29009

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 29009 the smallest integer that is 841377036 that is divisible by both numbers.

Least Common Multiple (LCM) of 29004 and 29009 is 841377036.

LCM(29004,29009) = 841377036

LCM of 29004 and 29009

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

LCM of:
and

Least Common Multiple of 29004 and 29009

LCM of 29004 and 29009 is 841377036

Least common multiple can be found by multiplying the highest exponent prime factors of 29004 and 29009. First we will calculate the prime factors of 29004 and 29009.

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 29009


29009 29009
1

Prime factors of 29009 are 29009. Prime factorization of 29009 in exponential form is:

29009 = 290091

Now multiplying the highest exponent prime factors to calculate the LCM of 29004 and 29009.

LCM(29004,29009) = 22×31×24171×290091
LCM(29004,29009) = 841377036

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 29009

List of positive integer factors of 29009 that divides 29009 without a remainder.

1, 29009

Least Common Multiple of 29004 and 29009 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 29009, than apply into the LCM equation.

GCF(29004,29009) = 1
LCM(29004,29009) = ( 29004 × 29009) / 1
LCM(29004,29009) = 841377036 / 1
LCM(29004,29009) = 841377036

Properties of LCM 29004 and 29009

(i) The LCM of 29009 and 29004 is associative

LCM of 29004 and 29009 = LCM of 29009 and 29004

Related Least Common Multiples of 29004

Related Least Common Multiples of 29009

Frequently Asked Questions on LCM of 29004 and 29009

1. What is the LCM of 29004 and 29009?

Answer: LCM of 29004 and 29009 is 841377036.

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 29009?

Answer: Factors of 29009 are 1, 29009. There are 2 integers that are factors of 29009. The greatest factor of 29009 is 29009.

4. How to Find the LCM of 29004 and 29009?

Answer:

Least Common Multiple of 29004 and 29009 = 841377036

Step 1: Find the prime factorization of 29004

29004 = 2 x 2 x 3 x 2417

Step 2: Find the prime factorization of 29009

29009 = 29009

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

LCM = 841377036 = 2 x 2 x 3 x 2417 x 29009

Step 4: Therefore, the least common multiple of 29004 and 29009 is 841377036.