Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2367 and 2371 the smallest integer that is 5612157 that is divisible by both numbers.
Least Common Multiple (LCM) of 2367 and 2371 is 5612157.
LCM(2367,2371) = 5612157
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 2367 and 2371. First we will calculate the prime factors of 2367 and 2371.
Prime Factorization of 2367
3 | 2367 |
3 | 789 |
263 | 263 |
1 |
Prime factors of 2367 are 3,263. Prime factorization of 2367 in exponential form is:
2367 = 32×2631
Prime Factorization of 2371
2371 | 2371 |
1 |
Prime factors of 2371 are 2371. Prime factorization of 2371 in exponential form is:
2371 = 23711
Now multiplying the highest exponent prime factors to calculate the LCM of 2367 and 2371.
LCM(2367,2371) = 32×2631×23711
LCM(2367,2371) = 5612157
Factors of 2367
List of positive integer factors of 2367 that divides 2367 without a remainder.
1, 3, 9, 263, 789, 2367
Factors of 2371
List of positive integer factors of 2371 that divides 2371 without a remainder.
1, 2371
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2367 and 2371, than apply into the LCM equation.
GCF(2367,2371) = 1
LCM(2367,2371) = ( 2367 × 2371) / 1
LCM(2367,2371) = 5612157 / 1
LCM(2367,2371) = 5612157
(i) The LCM of 2371 and 2367 is associative
LCM of 2367 and 2371 = LCM of 2371 and 2367
1. What is the LCM of 2367 and 2371?
Answer: LCM of 2367 and 2371 is 5612157.
2. What are the Factors of 2367?
Answer: Factors of 2367 are 1, 3, 9, 263, 789, 2367. There are 6 integers that are factors of 2367. The greatest factor of 2367 is 2367.
3. What are the Factors of 2371?
Answer: Factors of 2371 are 1, 2371. There are 2 integers that are factors of 2371. The greatest factor of 2371 is 2371.
4. How to Find the LCM of 2367 and 2371?
Answer:
Least Common Multiple of 2367 and 2371 = 5612157
Step 1: Find the prime factorization of 2367
2367 = 3 x 3 x 263
Step 2: Find the prime factorization of 2371
2371 = 2371
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5612157 = 3 x 3 x 263 x 2371
Step 4: Therefore, the least common multiple of 2367 and 2371 is 5612157.