Least Common Multiple of 7081 and 7087
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7081 and 7087 the smallest integer that is 50183047 that is divisible by both numbers.
Least Common Multiple (LCM) of 7081 and 7087 is 50183047.
LCM(7081,7087) = 50183047
LCM of 7081 and 7087
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7081 and 7087 by Prime method
- Least Common Multiple of 7081 and 7087 with GCF Formula
LCM of 7081 and 7087 is 50183047
Least common multiple can be found by multiplying the highest exponent prime factors of 7081 and 7087. First we will calculate the prime factors of 7081 and 7087.
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
Prime Factorization of 7087
| 19 | 7087 |
| 373 | 373 |
| 1 |
Prime factors of 7087 are 19,373. Prime factorization of 7087 in exponential form is:
7087 = 191×3731
Now multiplying the highest exponent prime factors to calculate the LCM of 7081 and 7087.
LCM(7081,7087) = 191×731×971×3731
LCM(7081,7087) = 50183047
Factors of 7081
List of positive integer factors of 7081 that divides 7081 without a remainder.
1, 73, 97, 7081
Factors of 7087
List of positive integer factors of 7087 that divides 7087 without a remainder.
1, 19, 373, 7087
Least Common Multiple of 7081 and 7087 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7081 and 7087, than apply into the LCM equation.
GCF(7081,7087) = 1
LCM(7081,7087) = ( 7081 × 7087) / 1
LCM(7081,7087) = 50183047 / 1
LCM(7081,7087) = 50183047
Properties of LCM 7081 and 7087
(i) The LCM of 7087 and 7081 is associative
LCM of 7081 and 7087 = LCM of 7087 and 7081
Related Least Common Multiples of 7081
Related Least Common Multiples of 7087
Frequently Asked Questions on LCM of 7081 and 7087
1. What is the LCM of 7081 and 7087?
Answer: LCM of 7081 and 7087 is 50183047.
2. 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.
3. What are the Factors of 7087?
Answer: Factors of 7087 are 1, 19, 373, 7087. There are 4 integers that are factors of 7087. The greatest factor of 7087 is 7087.
4. How to Find the LCM of 7081 and 7087?
Answer:
Least Common Multiple of 7081 and 7087 = 50183047
Step 1: Find the prime factorization of 7081
7081 = 73 x 97
Step 2: Find the prime factorization of 7087
7087 = 19 x 373
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 50183047 = 19 x 73 x 97 x 373
Step 4: Therefore, the least common multiple of 7081 and 7087 is 50183047.