Least Common Multiple of 3007 and 3015
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3007 and 3015 the smallest integer that is 9066105 that is divisible by both numbers.
Least Common Multiple (LCM) of 3007 and 3015 is 9066105.
LCM(3007,3015) = 9066105
LCM of 3007 and 3015
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3007 and 3015 by Prime method
- Least Common Multiple of 3007 and 3015 with GCF Formula
LCM of 3007 and 3015 is 9066105
Least common multiple can be found by multiplying the highest exponent prime factors of 3007 and 3015. First we will calculate the prime factors of 3007 and 3015.
Prime Factorization of 3007
| 31 | 3007 |
| 97 | 97 |
| 1 |
Prime factors of 3007 are 31,97. Prime factorization of 3007 in exponential form is:
3007 = 311×971
Prime Factorization of 3015
| 3 | 3015 |
| 3 | 1005 |
| 5 | 335 |
| 67 | 67 |
| 1 |
Prime factors of 3015 are 3, 5,67. Prime factorization of 3015 in exponential form is:
3015 = 32×51×671
Now multiplying the highest exponent prime factors to calculate the LCM of 3007 and 3015.
LCM(3007,3015) = 32×51×311×671×971
LCM(3007,3015) = 9066105
Factors of 3007
List of positive integer factors of 3007 that divides 3007 without a remainder.
1, 31, 97, 3007
Factors of 3015
List of positive integer factors of 3015 that divides 3015 without a remainder.
1, 3, 5, 9, 15, 45, 67, 201, 335, 603, 1005, 3015
Least Common Multiple of 3007 and 3015 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3007 and 3015, than apply into the LCM equation.
GCF(3007,3015) = 1
LCM(3007,3015) = ( 3007 × 3015) / 1
LCM(3007,3015) = 9066105 / 1
LCM(3007,3015) = 9066105
Properties of LCM 3007 and 3015
(i) The LCM of 3015 and 3007 is associative
LCM of 3007 and 3015 = LCM of 3015 and 3007
Related Least Common Multiples of 3007
Related Least Common Multiples of 3015
Frequently Asked Questions on LCM of 3007 and 3015
1. What is the LCM of 3007 and 3015?
Answer: LCM of 3007 and 3015 is 9066105.
2. What are the Factors of 3007?
Answer: Factors of 3007 are 1, 31, 97, 3007. There are 4 integers that are factors of 3007. The greatest factor of 3007 is 3007.
3. What are the Factors of 3015?
Answer: Factors of 3015 are 1, 3, 5, 9, 15, 45, 67, 201, 335, 603, 1005, 3015. There are 12 integers that are factors of 3015. The greatest factor of 3015 is 3015.
4. How to Find the LCM of 3007 and 3015?
Answer:
Least Common Multiple of 3007 and 3015 = 9066105
Step 1: Find the prime factorization of 3007
3007 = 31 x 97
Step 2: Find the prime factorization of 3015
3015 = 3 x 3 x 5 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9066105 = 3 x 3 x 5 x 31 x 67 x 97
Step 4: Therefore, the least common multiple of 3007 and 3015 is 9066105.