Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2361 and 2367 the smallest integer that is 1862829 that is divisible by both numbers.
Least Common Multiple (LCM) of 2361 and 2367 is 1862829.
LCM(2361,2367) = 1862829
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 2361 and 2367. First we will calculate the prime factors of 2361 and 2367.
Prime Factorization of 2361
3 | 2361 |
787 | 787 |
1 |
Prime factors of 2361 are 3,787. Prime factorization of 2361 in exponential form is:
2361 = 31×7871
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
Now multiplying the highest exponent prime factors to calculate the LCM of 2361 and 2367.
LCM(2361,2367) = 32×2631×7871
LCM(2361,2367) = 1862829
Factors of 2361
List of positive integer factors of 2361 that divides 2361 without a remainder.
1, 3, 787, 2361
Factors of 2367
List of positive integer factors of 2367 that divides 2367 without a remainder.
1, 3, 9, 263, 789, 2367
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2361 and 2367, than apply into the LCM equation.
GCF(2361,2367) = 3
LCM(2361,2367) = ( 2361 × 2367) / 3
LCM(2361,2367) = 5588487 / 3
LCM(2361,2367) = 1862829
(i) The LCM of 2367 and 2361 is associative
LCM of 2361 and 2367 = LCM of 2367 and 2361
1. What is the LCM of 2361 and 2367?
Answer: LCM of 2361 and 2367 is 1862829.
2. What are the Factors of 2361?
Answer: Factors of 2361 are 1, 3, 787, 2361. There are 4 integers that are factors of 2361. The greatest factor of 2361 is 2361.
3. 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.
4. How to Find the LCM of 2361 and 2367?
Answer:
Least Common Multiple of 2361 and 2367 = 1862829
Step 1: Find the prime factorization of 2361
2361 = 3 x 787
Step 2: Find the prime factorization of 2367
2367 = 3 x 3 x 263
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1862829 = 3 x 3 x 263 x 787
Step 4: Therefore, the least common multiple of 2361 and 2367 is 1862829.