Least Common Multiple of 7006 and 7013
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7006 and 7013 the smallest integer that is 49133078 that is divisible by both numbers.
Least Common Multiple (LCM) of 7006 and 7013 is 49133078.
LCM(7006,7013) = 49133078
LCM of 7006 and 7013
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7006 and 7013 by Prime method
- Least Common Multiple of 7006 and 7013 with GCF Formula
LCM of 7006 and 7013 is 49133078
Least common multiple can be found by multiplying the highest exponent prime factors of 7006 and 7013. First we will calculate the prime factors of 7006 and 7013.
Prime Factorization of 7006
| 2 | 7006 |
| 31 | 3503 |
| 113 | 113 |
| 1 |
Prime factors of 7006 are 2, 31,113. Prime factorization of 7006 in exponential form is:
7006 = 21×311×1131
Prime Factorization of 7013
| 7013 | 7013 |
| 1 |
Prime factors of 7013 are 7013. Prime factorization of 7013 in exponential form is:
7013 = 70131
Now multiplying the highest exponent prime factors to calculate the LCM of 7006 and 7013.
LCM(7006,7013) = 21×311×1131×70131
LCM(7006,7013) = 49133078
Factors of 7006
List of positive integer factors of 7006 that divides 7006 without a remainder.
1, 2, 31, 62, 113, 226, 3503, 7006
Factors of 7013
List of positive integer factors of 7013 that divides 7013 without a remainder.
1, 7013
Least Common Multiple of 7006 and 7013 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7006 and 7013, than apply into the LCM equation.
GCF(7006,7013) = 1
LCM(7006,7013) = ( 7006 × 7013) / 1
LCM(7006,7013) = 49133078 / 1
LCM(7006,7013) = 49133078
Properties of LCM 7006 and 7013
(i) The LCM of 7013 and 7006 is associative
LCM of 7006 and 7013 = LCM of 7013 and 7006
Related Least Common Multiples of 7006
Related Least Common Multiples of 7013
Frequently Asked Questions on LCM of 7006 and 7013
1. What is the LCM of 7006 and 7013?
Answer: LCM of 7006 and 7013 is 49133078.
2. What are the Factors of 7006?
Answer: Factors of 7006 are 1, 2, 31, 62, 113, 226, 3503, 7006. There are 8 integers that are factors of 7006. The greatest factor of 7006 is 7006.
3. What are the Factors of 7013?
Answer: Factors of 7013 are 1, 7013. There are 2 integers that are factors of 7013. The greatest factor of 7013 is 7013.
4. How to Find the LCM of 7006 and 7013?
Answer:
Least Common Multiple of 7006 and 7013 = 49133078
Step 1: Find the prime factorization of 7006
7006 = 2 x 31 x 113
Step 2: Find the prime factorization of 7013
7013 = 7013
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 49133078 = 2 x 31 x 113 x 7013
Step 4: Therefore, the least common multiple of 7006 and 7013 is 49133078.