Least Common Multiple of 27003 and 27007
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 27003 and 27007 the smallest integer that is 729270021 that is divisible by both numbers.
Least Common Multiple (LCM) of 27003 and 27007 is 729270021.
LCM(27003,27007) = 729270021
LCM of 27003 and 27007
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 27003 and 27007 by Prime method
- Least Common Multiple of 27003 and 27007 with GCF Formula
LCM of 27003 and 27007 is 729270021
Least common multiple can be found by multiplying the highest exponent prime factors of 27003 and 27007. First we will calculate the prime factors of 27003 and 27007.
Prime Factorization of 27003
| 3 | 27003 |
| 9001 | 9001 |
| 1 |
Prime factors of 27003 are 3,9001. Prime factorization of 27003 in exponential form is:
27003 = 31×90011
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
Now multiplying the highest exponent prime factors to calculate the LCM of 27003 and 27007.
LCM(27003,27007) = 31×1131×2391×90011
LCM(27003,27007) = 729270021
Factors of 27003
List of positive integer factors of 27003 that divides 27003 without a remainder.
1, 3, 9001, 27003
Factors of 27007
List of positive integer factors of 27007 that divides 27007 without a remainder.
1, 113, 239, 27007
Least Common Multiple of 27003 and 27007 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27003 and 27007, than apply into the LCM equation.
GCF(27003,27007) = 1
LCM(27003,27007) = ( 27003 × 27007) / 1
LCM(27003,27007) = 729270021 / 1
LCM(27003,27007) = 729270021
Properties of LCM 27003 and 27007
(i) The LCM of 27007 and 27003 is associative
LCM of 27003 and 27007 = LCM of 27007 and 27003
Related Least Common Multiples of 27003
Related Least Common Multiples of 27007
Frequently Asked Questions on LCM of 27003 and 27007
1. What is the LCM of 27003 and 27007?
Answer: LCM of 27003 and 27007 is 729270021.
2. What are the Factors of 27003?
Answer: Factors of 27003 are 1, 3, 9001, 27003. There are 4 integers that are factors of 27003. The greatest factor of 27003 is 27003.
3. 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.
4. How to Find the LCM of 27003 and 27007?
Answer:
Least Common Multiple of 27003 and 27007 = 729270021
Step 1: Find the prime factorization of 27003
27003 = 3 x 9001
Step 2: Find the prime factorization of 27007
27007 = 113 x 239
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 729270021 = 3 x 113 x 239 x 9001
Step 4: Therefore, the least common multiple of 27003 and 27007 is 729270021.