Least Common Multiple of 29015 and 29023

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 29023 the smallest integer that is 842102345 that is divisible by both numbers.

Least Common Multiple (LCM) of 29015 and 29023 is 842102345.

LCM(29015,29023) = 842102345

LCM of 29015 and 29023

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

LCM of:
and

Least Common Multiple of 29015 and 29023

LCM of 29015 and 29023 is 842102345

Least common multiple can be found by multiplying the highest exponent prime factors of 29015 and 29023. First we will calculate the prime factors of 29015 and 29023.

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 29023


29023 29023
1

Prime factors of 29023 are 29023. Prime factorization of 29023 in exponential form is:

29023 = 290231

Now multiplying the highest exponent prime factors to calculate the LCM of 29015 and 29023.

LCM(29015,29023) = 51×71×8291×290231
LCM(29015,29023) = 842102345

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 29023

List of positive integer factors of 29023 that divides 29023 without a remainder.

1, 29023

Least Common Multiple of 29015 and 29023 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 29023, than apply into the LCM equation.

GCF(29015,29023) = 1
LCM(29015,29023) = ( 29015 × 29023) / 1
LCM(29015,29023) = 842102345 / 1
LCM(29015,29023) = 842102345

Properties of LCM 29015 and 29023

(i) The LCM of 29023 and 29015 is associative

LCM of 29015 and 29023 = LCM of 29023 and 29015

Related Least Common Multiples of 29015

Related Least Common Multiples of 29023

Frequently Asked Questions on LCM of 29015 and 29023

1. What is the LCM of 29015 and 29023?

Answer: LCM of 29015 and 29023 is 842102345.

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 29023?

Answer: Factors of 29023 are 1, 29023. There are 2 integers that are factors of 29023. The greatest factor of 29023 is 29023.

4. How to Find the LCM of 29015 and 29023?

Answer:

Least Common Multiple of 29015 and 29023 = 842102345

Step 1: Find the prime factorization of 29015

29015 = 5 x 7 x 829

Step 2: Find the prime factorization of 29023

29023 = 29023

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

LCM = 842102345 = 5 x 7 x 829 x 29023

Step 4: Therefore, the least common multiple of 29015 and 29023 is 842102345.