Least Common Multiple of 29005 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 29005 and 29009 the smallest integer that is 841406045 that is divisible by both numbers.

Least Common Multiple (LCM) of 29005 and 29009 is 841406045.

LCM(29005,29009) = 841406045

LCM of 29005 and 29009

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

LCM of:
and

Least Common Multiple of 29005 and 29009

LCM of 29005 and 29009 is 841406045

Least common multiple can be found by multiplying the highest exponent prime factors of 29005 and 29009. First we will calculate the prime factors of 29005 and 29009.

Prime Factorization of 29005


5 29005
5801 5801
1

Prime factors of 29005 are 5,5801. Prime factorization of 29005 in exponential form is:

29005 = 51×58011

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 29005 and 29009.

LCM(29005,29009) = 51×58011×290091
LCM(29005,29009) = 841406045

Factors of 29005

List of positive integer factors of 29005 that divides 29005 without a remainder.

1, 5, 5801, 29005

Factors of 29009

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

1, 29009

Least Common Multiple of 29005 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 29005 and 29009, than apply into the LCM equation.

GCF(29005,29009) = 1
LCM(29005,29009) = ( 29005 × 29009) / 1
LCM(29005,29009) = 841406045 / 1
LCM(29005,29009) = 841406045

Properties of LCM 29005 and 29009

(i) The LCM of 29009 and 29005 is associative

LCM of 29005 and 29009 = LCM of 29009 and 29005

Related Least Common Multiples of 29005

Related Least Common Multiples of 29009

Frequently Asked Questions on LCM of 29005 and 29009

1. What is the LCM of 29005 and 29009?

Answer: LCM of 29005 and 29009 is 841406045.

2. What are the Factors of 29005?

Answer: Factors of 29005 are 1, 5, 5801, 29005. There are 4 integers that are factors of 29005. The greatest factor of 29005 is 29005.

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 29005 and 29009?

Answer:

Least Common Multiple of 29005 and 29009 = 841406045

Step 1: Find the prime factorization of 29005

29005 = 5 x 5801

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 = 841406045 = 5 x 5801 x 29009

Step 4: Therefore, the least common multiple of 29005 and 29009 is 841406045.