Least Common Multiple of 27007 and 27014
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 27007 and 27014 the smallest integer that is 729567098 that is divisible by both numbers.
Least Common Multiple (LCM) of 27007 and 27014 is 729567098.
LCM(27007,27014) = 729567098
LCM of 27007 and 27014
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 27007 and 27014 by Prime method
- Least Common Multiple of 27007 and 27014 with GCF Formula
LCM of 27007 and 27014 is 729567098
Least common multiple can be found by multiplying the highest exponent prime factors of 27007 and 27014. First we will calculate the prime factors of 27007 and 27014.
Prime Factorization of 27007
| 113 | 27007 |
| 239 | 239 |
| 1 |
Prime factors of 27007 are 113,239. Prime factorization of 27007 in exponential form is:
27007 = 1131×2391
Prime Factorization of 27014
| 2 | 27014 |
| 13 | 13507 |
| 1039 | 1039 |
| 1 |
Prime factors of 27014 are 2, 13,1039. Prime factorization of 27014 in exponential form is:
27014 = 21×131×10391
Now multiplying the highest exponent prime factors to calculate the LCM of 27007 and 27014.
LCM(27007,27014) = 21×131×1131×2391×10391
LCM(27007,27014) = 729567098
Factors of 27007
List of positive integer factors of 27007 that divides 27007 without a remainder.
1, 113, 239, 27007
Factors of 27014
List of positive integer factors of 27014 that divides 27014 without a remainder.
1, 2, 13, 26, 1039, 2078, 13507, 27014
Least Common Multiple of 27007 and 27014 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27007 and 27014, than apply into the LCM equation.
GCF(27007,27014) = 1
LCM(27007,27014) = ( 27007 × 27014) / 1
LCM(27007,27014) = 729567098 / 1
LCM(27007,27014) = 729567098
Properties of LCM 27007 and 27014
(i) The LCM of 27014 and 27007 is associative
LCM of 27007 and 27014 = LCM of 27014 and 27007
Related Least Common Multiples of 27007
Related Least Common Multiples of 27014
Frequently Asked Questions on LCM of 27007 and 27014
1. What is the LCM of 27007 and 27014?
Answer: LCM of 27007 and 27014 is 729567098.
2. What are the Factors of 27007?
Answer: Factors of 27007 are 1, 113, 239, 27007. There are 4 integers that are factors of 27007. The greatest factor of 27007 is 27007.
3. What are the Factors of 27014?
Answer: Factors of 27014 are 1, 2, 13, 26, 1039, 2078, 13507, 27014. There are 8 integers that are factors of 27014. The greatest factor of 27014 is 27014.
4. How to Find the LCM of 27007 and 27014?
Answer:
Least Common Multiple of 27007 and 27014 = 729567098
Step 1: Find the prime factorization of 27007
27007 = 113 x 239
Step 2: Find the prime factorization of 27014
27014 = 2 x 13 x 1039
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 729567098 = 2 x 13 x 113 x 239 x 1039
Step 4: Therefore, the least common multiple of 27007 and 27014 is 729567098.