Least Common Multiple of 29015 and 29021

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 29015 and 29021 the smallest integer that is 842044315 that is divisible by both numbers.

Least Common Multiple (LCM) of 29015 and 29021 is 842044315.

LCM(29015,29021) = 842044315

LCM of 29015 and 29021

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

LCM of:
and

Least Common Multiple of 29015 and 29021

LCM of 29015 and 29021 is 842044315

Least common multiple can be found by multiplying the highest exponent prime factors of 29015 and 29021. First we will calculate the prime factors of 29015 and 29021.

Prime Factorization of 29015


5 29015
7 5803
829 829
1

Prime factors of 29015 are 5, 7,829. Prime factorization of 29015 in exponential form is:

29015 = 51×71×8291

Prime Factorization of 29021


29021 29021
1

Prime factors of 29021 are 29021. Prime factorization of 29021 in exponential form is:

29021 = 290211

Now multiplying the highest exponent prime factors to calculate the LCM of 29015 and 29021.

LCM(29015,29021) = 51×71×8291×290211
LCM(29015,29021) = 842044315

Factors of 29015

List of positive integer factors of 29015 that divides 29015 without a remainder.

1, 5, 7, 35, 829, 4145, 5803, 29015

Factors of 29021

List of positive integer factors of 29021 that divides 29021 without a remainder.

1, 29021

Least Common Multiple of 29015 and 29021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29015 and 29021, than apply into the LCM equation.

GCF(29015,29021) = 1
LCM(29015,29021) = ( 29015 × 29021) / 1
LCM(29015,29021) = 842044315 / 1
LCM(29015,29021) = 842044315

Properties of LCM 29015 and 29021

(i) The LCM of 29021 and 29015 is associative

LCM of 29015 and 29021 = LCM of 29021 and 29015

Related Least Common Multiples of 29015

Related Least Common Multiples of 29021

Frequently Asked Questions on LCM of 29015 and 29021

1. What is the LCM of 29015 and 29021?

Answer: LCM of 29015 and 29021 is 842044315.

2. What are the Factors of 29015?

Answer: Factors of 29015 are 1, 5, 7, 35, 829, 4145, 5803, 29015. There are 8 integers that are factors of 29015. The greatest factor of 29015 is 29015.

3. What are the Factors of 29021?

Answer: Factors of 29021 are 1, 29021. There are 2 integers that are factors of 29021. The greatest factor of 29021 is 29021.

4. How to Find the LCM of 29015 and 29021?

Answer:

Least Common Multiple of 29015 and 29021 = 842044315

Step 1: Find the prime factorization of 29015

29015 = 5 x 7 x 829

Step 2: Find the prime factorization of 29021

29021 = 29021

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

LCM = 842044315 = 5 x 7 x 829 x 29021

Step 4: Therefore, the least common multiple of 29015 and 29021 is 842044315.