Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7873 and 7877 the smallest integer that is 62015621 that is divisible by both numbers.
Least Common Multiple (LCM) of 7873 and 7877 is 62015621.
LCM(7873,7877) = 62015621
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 7873 and 7877. First we will calculate the prime factors of 7873 and 7877.
Prime Factorization of 7873
7873 | 7873 |
1 |
Prime factors of 7873 are 7873. Prime factorization of 7873 in exponential form is:
7873 = 78731
Prime Factorization of 7877
7877 | 7877 |
1 |
Prime factors of 7877 are 7877. Prime factorization of 7877 in exponential form is:
7877 = 78771
Now multiplying the highest exponent prime factors to calculate the LCM of 7873 and 7877.
LCM(7873,7877) = 78731×78771
LCM(7873,7877) = 62015621
Factors of 7873
List of positive integer factors of 7873 that divides 7873 without a remainder.
1, 7873
Factors of 7877
List of positive integer factors of 7877 that divides 7877 without a remainder.
1, 7877
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7873 and 7877, than apply into the LCM equation.
GCF(7873,7877) = 1
LCM(7873,7877) = ( 7873 × 7877) / 1
LCM(7873,7877) = 62015621 / 1
LCM(7873,7877) = 62015621
(i) The LCM of 7877 and 7873 is associative
LCM of 7873 and 7877 = LCM of 7877 and 7873
1. What is the LCM of 7873 and 7877?
Answer: LCM of 7873 and 7877 is 62015621.
2. What are the Factors of 7873?
Answer: Factors of 7873 are 1, 7873. There are 2 integers that are factors of 7873. The greatest factor of 7873 is 7873.
3. What are the Factors of 7877?
Answer: Factors of 7877 are 1, 7877. There are 2 integers that are factors of 7877. The greatest factor of 7877 is 7877.
4. How to Find the LCM of 7873 and 7877?
Answer:
Least Common Multiple of 7873 and 7877 = 62015621
Step 1: Find the prime factorization of 7873
7873 = 7873
Step 2: Find the prime factorization of 7877
7877 = 7877
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 62015621 = 7873 x 7877
Step 4: Therefore, the least common multiple of 7873 and 7877 is 62015621.