Least Common Multiple of 29005 and 29013

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 29013 the smallest integer that is 841522065 that is divisible by both numbers.

Least Common Multiple (LCM) of 29005 and 29013 is 841522065.

LCM(29005,29013) = 841522065

LCM of 29005 and 29013

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

LCM of:
and

Least Common Multiple of 29005 and 29013

LCM of 29005 and 29013 is 841522065

Least common multiple can be found by multiplying the highest exponent prime factors of 29005 and 29013. First we will calculate the prime factors of 29005 and 29013.

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 29013


3 29013
19 9671
509 509
1

Prime factors of 29013 are 3, 19,509. Prime factorization of 29013 in exponential form is:

29013 = 31×191×5091

Now multiplying the highest exponent prime factors to calculate the LCM of 29005 and 29013.

LCM(29005,29013) = 31×51×191×5091×58011
LCM(29005,29013) = 841522065

Factors of 29005

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

1, 5, 5801, 29005

Factors of 29013

List of positive integer factors of 29013 that divides 29013 without a remainder.

1, 3, 19, 57, 509, 1527, 9671, 29013

Least Common Multiple of 29005 and 29013 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 29013, than apply into the LCM equation.

GCF(29005,29013) = 1
LCM(29005,29013) = ( 29005 × 29013) / 1
LCM(29005,29013) = 841522065 / 1
LCM(29005,29013) = 841522065

Properties of LCM 29005 and 29013

(i) The LCM of 29013 and 29005 is associative

LCM of 29005 and 29013 = LCM of 29013 and 29005

Related Least Common Multiples of 29005

Related Least Common Multiples of 29013

Frequently Asked Questions on LCM of 29005 and 29013

1. What is the LCM of 29005 and 29013?

Answer: LCM of 29005 and 29013 is 841522065.

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 29013?

Answer: Factors of 29013 are 1, 3, 19, 57, 509, 1527, 9671, 29013. There are 8 integers that are factors of 29013. The greatest factor of 29013 is 29013.

4. How to Find the LCM of 29005 and 29013?

Answer:

Least Common Multiple of 29005 and 29013 = 841522065

Step 1: Find the prime factorization of 29005

29005 = 5 x 5801

Step 2: Find the prime factorization of 29013

29013 = 3 x 19 x 509

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

LCM = 841522065 = 3 x 5 x 19 x 509 x 5801

Step 4: Therefore, the least common multiple of 29005 and 29013 is 841522065.