Least Common Multiple of 29008 and 29015

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 29008 and 29015 the smallest integer that is 120238160 that is divisible by both numbers.

Least Common Multiple (LCM) of 29008 and 29015 is 120238160.

LCM(29008,29015) = 120238160

LCM of 29008 and 29015

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

LCM of:
and

Least Common Multiple of 29008 and 29015

LCM of 29008 and 29015 is 120238160

Least common multiple can be found by multiplying the highest exponent prime factors of 29008 and 29015. First we will calculate the prime factors of 29008 and 29015.

Prime Factorization of 29008


2 29008
2 14504
2 7252
2 3626
7 1813
7 259
37 37
1

Prime factors of 29008 are 2, 7,37. Prime factorization of 29008 in exponential form is:

29008 = 24×72×371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 29008 and 29015.

LCM(29008,29015) = 24×51×72×371×8291
LCM(29008,29015) = 120238160

Factors of 29008

List of positive integer factors of 29008 that divides 29008 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 37, 49, 56, 74, 98, 112, 148, 196, 259, 296, 392, 518, 592, 784, 1036, 1813, 2072, 3626, 4144, 7252, 14504, 29008

Factors of 29015

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

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

Least Common Multiple of 29008 and 29015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29008 and 29015, than apply into the LCM equation.

GCF(29008,29015) = 7
LCM(29008,29015) = ( 29008 × 29015) / 7
LCM(29008,29015) = 841667120 / 7
LCM(29008,29015) = 120238160

Properties of LCM 29008 and 29015

(i) The LCM of 29015 and 29008 is associative

LCM of 29008 and 29015 = LCM of 29015 and 29008

Related Least Common Multiples of 29008

Related Least Common Multiples of 29015

Frequently Asked Questions on LCM of 29008 and 29015

1. What is the LCM of 29008 and 29015?

Answer: LCM of 29008 and 29015 is 120238160.

2. What are the Factors of 29008?

Answer: Factors of 29008 are 1, 2, 4, 7, 8, 14, 16, 28, 37, 49, 56, 74, 98, 112, 148, 196, 259, 296, 392, 518, 592, 784, 1036, 1813, 2072, 3626, 4144, 7252, 14504, 29008. There are 30 integers that are factors of 29008. The greatest factor of 29008 is 29008.

3. 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.

4. How to Find the LCM of 29008 and 29015?

Answer:

Least Common Multiple of 29008 and 29015 = 120238160

Step 1: Find the prime factorization of 29008

29008 = 2 x 2 x 2 x 2 x 7 x 7 x 37

Step 2: Find the prime factorization of 29015

29015 = 5 x 7 x 829

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

LCM = 120238160 = 2 x 2 x 2 x 2 x 5 x 7 x 7 x 37 x 829

Step 4: Therefore, the least common multiple of 29008 and 29015 is 120238160.