Least Common Multiple of 7046 and 7051
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7046 and 7051 the smallest integer that is 49681346 that is divisible by both numbers.
Least Common Multiple (LCM) of 7046 and 7051 is 49681346.
LCM(7046,7051) = 49681346
LCM of 7046 and 7051
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7046 and 7051 by Prime method
- Least Common Multiple of 7046 and 7051 with GCF Formula
LCM of 7046 and 7051 is 49681346
Least common multiple can be found by multiplying the highest exponent prime factors of 7046 and 7051. First we will calculate the prime factors of 7046 and 7051.
Prime Factorization of 7046
| 2 | 7046 |
| 13 | 3523 |
| 271 | 271 |
| 1 |
Prime factors of 7046 are 2, 13,271. Prime factorization of 7046 in exponential form is:
7046 = 21×131×2711
Prime Factorization of 7051
| 11 | 7051 |
| 641 | 641 |
| 1 |
Prime factors of 7051 are 11,641. Prime factorization of 7051 in exponential form is:
7051 = 111×6411
Now multiplying the highest exponent prime factors to calculate the LCM of 7046 and 7051.
LCM(7046,7051) = 21×111×131×2711×6411
LCM(7046,7051) = 49681346
Factors of 7046
List of positive integer factors of 7046 that divides 7046 without a remainder.
1, 2, 13, 26, 271, 542, 3523, 7046
Factors of 7051
List of positive integer factors of 7051 that divides 7051 without a remainder.
1, 11, 641, 7051
Least Common Multiple of 7046 and 7051 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7046 and 7051, than apply into the LCM equation.
GCF(7046,7051) = 1
LCM(7046,7051) = ( 7046 × 7051) / 1
LCM(7046,7051) = 49681346 / 1
LCM(7046,7051) = 49681346
Properties of LCM 7046 and 7051
(i) The LCM of 7051 and 7046 is associative
LCM of 7046 and 7051 = LCM of 7051 and 7046
Related Least Common Multiples of 7046
Related Least Common Multiples of 7051
Frequently Asked Questions on LCM of 7046 and 7051
1. What is the LCM of 7046 and 7051?
Answer: LCM of 7046 and 7051 is 49681346.
2. What are the Factors of 7046?
Answer: Factors of 7046 are 1, 2, 13, 26, 271, 542, 3523, 7046. There are 8 integers that are factors of 7046. The greatest factor of 7046 is 7046.
3. What are the Factors of 7051?
Answer: Factors of 7051 are 1, 11, 641, 7051. There are 4 integers that are factors of 7051. The greatest factor of 7051 is 7051.
4. How to Find the LCM of 7046 and 7051?
Answer:
Least Common Multiple of 7046 and 7051 = 49681346
Step 1: Find the prime factorization of 7046
7046 = 2 x 13 x 271
Step 2: Find the prime factorization of 7051
7051 = 11 x 641
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 49681346 = 2 x 11 x 13 x 271 x 641
Step 4: Therefore, the least common multiple of 7046 and 7051 is 49681346.