Least Common Multiple of 29007 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 29007 and 29012 the smallest integer that is 841551084 that is divisible by both numbers.

Least Common Multiple (LCM) of 29007 and 29012 is 841551084.

LCM(29007,29012) = 841551084

LCM of 29007 and 29012

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

LCM of:
and

Least Common Multiple of 29007 and 29012

LCM of 29007 and 29012 is 841551084

Least common multiple can be found by multiplying the highest exponent prime factors of 29007 and 29012. First we will calculate the prime factors of 29007 and 29012.

Prime Factorization of 29007


3 29007
3 9669
11 3223
293 293
1

Prime factors of 29007 are 3, 11,293. Prime factorization of 29007 in exponential form is:

29007 = 32×111×2931

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 29007 and 29012.

LCM(29007,29012) = 22×32×111×2931×72531
LCM(29007,29012) = 841551084

Factors of 29007

List of positive integer factors of 29007 that divides 29007 without a remainder.

1, 3, 9, 11, 33, 99, 293, 879, 2637, 3223, 9669, 29007

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 29007 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 29007 and 29012, than apply into the LCM equation.

GCF(29007,29012) = 1
LCM(29007,29012) = ( 29007 × 29012) / 1
LCM(29007,29012) = 841551084 / 1
LCM(29007,29012) = 841551084

Properties of LCM 29007 and 29012

(i) The LCM of 29012 and 29007 is associative

LCM of 29007 and 29012 = LCM of 29012 and 29007

Related Least Common Multiples of 29007

Related Least Common Multiples of 29012

Frequently Asked Questions on LCM of 29007 and 29012

1. What is the LCM of 29007 and 29012?

Answer: LCM of 29007 and 29012 is 841551084.

2. What are the Factors of 29007?

Answer: Factors of 29007 are 1, 3, 9, 11, 33, 99, 293, 879, 2637, 3223, 9669, 29007. There are 12 integers that are factors of 29007. The greatest factor of 29007 is 29007.

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 29007 and 29012?

Answer:

Least Common Multiple of 29007 and 29012 = 841551084

Step 1: Find the prime factorization of 29007

29007 = 3 x 3 x 11 x 293

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 = 841551084 = 2 x 2 x 3 x 3 x 11 x 293 x 7253

Step 4: Therefore, the least common multiple of 29007 and 29012 is 841551084.