Least Common Multiple of 29011 and 29018
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 29011 and 29018 the smallest integer that is 841841198 that is divisible by both numbers.
Least Common Multiple (LCM) of 29011 and 29018 is 841841198.
LCM(29011,29018) = 841841198
LCM of 29011 and 29018
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 29011 and 29018 by Prime method
- Least Common Multiple of 29011 and 29018 with GCF Formula
LCM of 29011 and 29018 is 841841198
Least common multiple can be found by multiplying the highest exponent prime factors of 29011 and 29018. First we will calculate the prime factors of 29011 and 29018.
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
Prime Factorization of 29018
| 2 | 29018 |
| 11 | 14509 |
| 1319 | 1319 |
| 1 |
Prime factors of 29018 are 2, 11,1319. Prime factorization of 29018 in exponential form is:
29018 = 21×111×13191
Now multiplying the highest exponent prime factors to calculate the LCM of 29011 and 29018.
LCM(29011,29018) = 21×111×671×4331×13191
LCM(29011,29018) = 841841198
Factors of 29011
List of positive integer factors of 29011 that divides 29011 without a remainder.
1, 67, 433, 29011
Factors of 29018
List of positive integer factors of 29018 that divides 29018 without a remainder.
1, 2, 11, 22, 1319, 2638, 14509, 29018
Least Common Multiple of 29011 and 29018 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29011 and 29018, than apply into the LCM equation.
GCF(29011,29018) = 1
LCM(29011,29018) = ( 29011 × 29018) / 1
LCM(29011,29018) = 841841198 / 1
LCM(29011,29018) = 841841198
Properties of LCM 29011 and 29018
(i) The LCM of 29018 and 29011 is associative
LCM of 29011 and 29018 = LCM of 29018 and 29011
Related Least Common Multiples of 29011
Related Least Common Multiples of 29018
Frequently Asked Questions on LCM of 29011 and 29018
1. What is the LCM of 29011 and 29018?
Answer: LCM of 29011 and 29018 is 841841198.
2. 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.
3. What are the Factors of 29018?
Answer: Factors of 29018 are 1, 2, 11, 22, 1319, 2638, 14509, 29018. There are 8 integers that are factors of 29018. The greatest factor of 29018 is 29018.
4. How to Find the LCM of 29011 and 29018?
Answer:
Least Common Multiple of 29011 and 29018 = 841841198
Step 1: Find the prime factorization of 29011
29011 = 67 x 433
Step 2: Find the prime factorization of 29018
29018 = 2 x 11 x 1319
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 841841198 = 2 x 11 x 67 x 433 x 1319
Step 4: Therefore, the least common multiple of 29011 and 29018 is 841841198.