Least Common Multiple of 29005 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 29005 and 29012 the smallest integer that is 841493060 that is divisible by both numbers.

Least Common Multiple (LCM) of 29005 and 29012 is 841493060.

LCM(29005,29012) = 841493060

LCM of 29005 and 29012

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

LCM of:
and

Least Common Multiple of 29005 and 29012

LCM of 29005 and 29012 is 841493060

Least common multiple can be found by multiplying the highest exponent prime factors of 29005 and 29012. First we will calculate the prime factors of 29005 and 29012.

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 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 29005 and 29012.

LCM(29005,29012) = 22×51×58011×72531
LCM(29005,29012) = 841493060

Factors of 29005

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

1, 5, 5801, 29005

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 29005 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 29005 and 29012, than apply into the LCM equation.

GCF(29005,29012) = 1
LCM(29005,29012) = ( 29005 × 29012) / 1
LCM(29005,29012) = 841493060 / 1
LCM(29005,29012) = 841493060

Properties of LCM 29005 and 29012

(i) The LCM of 29012 and 29005 is associative

LCM of 29005 and 29012 = LCM of 29012 and 29005

Related Least Common Multiples of 29005

Related Least Common Multiples of 29012

Frequently Asked Questions on LCM of 29005 and 29012

1. What is the LCM of 29005 and 29012?

Answer: LCM of 29005 and 29012 is 841493060.

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 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 29005 and 29012?

Answer:

Least Common Multiple of 29005 and 29012 = 841493060

Step 1: Find the prime factorization of 29005

29005 = 5 x 5801

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 = 841493060 = 2 x 2 x 5 x 5801 x 7253

Step 4: Therefore, the least common multiple of 29005 and 29012 is 841493060.