Least Common Multiple of 29007 and 29011
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 29011 the smallest integer that is 841522077 that is divisible by both numbers.
Least Common Multiple (LCM) of 29007 and 29011 is 841522077.
LCM(29007,29011) = 841522077
LCM of 29007 and 29011
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 29007 and 29011 by Prime method
- Least Common Multiple of 29007 and 29011 with GCF Formula
LCM of 29007 and 29011 is 841522077
Least common multiple can be found by multiplying the highest exponent prime factors of 29007 and 29011. First we will calculate the prime factors of 29007 and 29011.
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 29011
| 67 | 29011 |
| 433 | 433 |
| 1 |
Prime factors of 29011 are 67,433. Prime factorization of 29011 in exponential form is:
29011 = 671×4331
Now multiplying the highest exponent prime factors to calculate the LCM of 29007 and 29011.
LCM(29007,29011) = 32×111×671×2931×4331
LCM(29007,29011) = 841522077
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 29011
List of positive integer factors of 29011 that divides 29011 without a remainder.
1, 67, 433, 29011
Least Common Multiple of 29007 and 29011 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 29011, than apply into the LCM equation.
GCF(29007,29011) = 1
LCM(29007,29011) = ( 29007 × 29011) / 1
LCM(29007,29011) = 841522077 / 1
LCM(29007,29011) = 841522077
Properties of LCM 29007 and 29011
(i) The LCM of 29011 and 29007 is associative
LCM of 29007 and 29011 = LCM of 29011 and 29007
Related Least Common Multiples of 29007
Related Least Common Multiples of 29011
Frequently Asked Questions on LCM of 29007 and 29011
1. What is the LCM of 29007 and 29011?
Answer: LCM of 29007 and 29011 is 841522077.
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 29011?
Answer: Factors of 29011 are 1, 67, 433, 29011. There are 4 integers that are factors of 29011. The greatest factor of 29011 is 29011.
4. How to Find the LCM of 29007 and 29011?
Answer:
Least Common Multiple of 29007 and 29011 = 841522077
Step 1: Find the prime factorization of 29007
29007 = 3 x 3 x 11 x 293
Step 2: Find the prime factorization of 29011
29011 = 67 x 433
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 841522077 = 3 x 3 x 11 x 67 x 293 x 433
Step 4: Therefore, the least common multiple of 29007 and 29011 is 841522077.