Least Common Multiple of 7073 and 7081
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7073 and 7081 the smallest integer that is 50083913 that is divisible by both numbers.
Least Common Multiple (LCM) of 7073 and 7081 is 50083913.
LCM(7073,7081) = 50083913
LCM of 7073 and 7081
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7073 and 7081 by Prime method
- Least Common Multiple of 7073 and 7081 with GCF Formula
LCM of 7073 and 7081 is 50083913
Least common multiple can be found by multiplying the highest exponent prime factors of 7073 and 7081. First we will calculate the prime factors of 7073 and 7081.
Prime Factorization of 7073
| 11 | 7073 |
| 643 | 643 |
| 1 |
Prime factors of 7073 are 11,643. Prime factorization of 7073 in exponential form is:
7073 = 111×6431
Prime Factorization of 7081
| 73 | 7081 |
| 97 | 97 |
| 1 |
Prime factors of 7081 are 73,97. Prime factorization of 7081 in exponential form is:
7081 = 731×971
Now multiplying the highest exponent prime factors to calculate the LCM of 7073 and 7081.
LCM(7073,7081) = 111×731×971×6431
LCM(7073,7081) = 50083913
Factors of 7073
List of positive integer factors of 7073 that divides 7073 without a remainder.
1, 11, 643, 7073
Factors of 7081
List of positive integer factors of 7081 that divides 7081 without a remainder.
1, 73, 97, 7081
Least Common Multiple of 7073 and 7081 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7073 and 7081, than apply into the LCM equation.
GCF(7073,7081) = 1
LCM(7073,7081) = ( 7073 × 7081) / 1
LCM(7073,7081) = 50083913 / 1
LCM(7073,7081) = 50083913
Properties of LCM 7073 and 7081
(i) The LCM of 7081 and 7073 is associative
LCM of 7073 and 7081 = LCM of 7081 and 7073
Related Least Common Multiples of 7073
Related Least Common Multiples of 7081
Frequently Asked Questions on LCM of 7073 and 7081
1. What is the LCM of 7073 and 7081?
Answer: LCM of 7073 and 7081 is 50083913.
2. What are the Factors of 7073?
Answer: Factors of 7073 are 1, 11, 643, 7073. There are 4 integers that are factors of 7073. The greatest factor of 7073 is 7073.
3. What are the Factors of 7081?
Answer: Factors of 7081 are 1, 73, 97, 7081. There are 4 integers that are factors of 7081. The greatest factor of 7081 is 7081.
4. How to Find the LCM of 7073 and 7081?
Answer:
Least Common Multiple of 7073 and 7081 = 50083913
Step 1: Find the prime factorization of 7073
7073 = 11 x 643
Step 2: Find the prime factorization of 7081
7081 = 73 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 50083913 = 11 x 73 x 97 x 643
Step 4: Therefore, the least common multiple of 7073 and 7081 is 50083913.