Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2377 and 2381 the smallest integer that is 5659637 that is divisible by both numbers.
Least Common Multiple (LCM) of 2377 and 2381 is 5659637.
LCM(2377,2381) = 5659637
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 2377 and 2381. First we will calculate the prime factors of 2377 and 2381.
Prime Factorization of 2377
2377 | 2377 |
1 |
Prime factors of 2377 are 2377. Prime factorization of 2377 in exponential form is:
2377 = 23771
Prime Factorization of 2381
2381 | 2381 |
1 |
Prime factors of 2381 are 2381. Prime factorization of 2381 in exponential form is:
2381 = 23811
Now multiplying the highest exponent prime factors to calculate the LCM of 2377 and 2381.
LCM(2377,2381) = 23771×23811
LCM(2377,2381) = 5659637
Factors of 2377
List of positive integer factors of 2377 that divides 2377 without a remainder.
1, 2377
Factors of 2381
List of positive integer factors of 2381 that divides 2381 without a remainder.
1, 2381
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2377 and 2381, than apply into the LCM equation.
GCF(2377,2381) = 1
LCM(2377,2381) = ( 2377 × 2381) / 1
LCM(2377,2381) = 5659637 / 1
LCM(2377,2381) = 5659637
(i) The LCM of 2381 and 2377 is associative
LCM of 2377 and 2381 = LCM of 2381 and 2377
1. What is the LCM of 2377 and 2381?
Answer: LCM of 2377 and 2381 is 5659637.
2. What are the Factors of 2377?
Answer: Factors of 2377 are 1, 2377. There are 2 integers that are factors of 2377. The greatest factor of 2377 is 2377.
3. What are the Factors of 2381?
Answer: Factors of 2381 are 1, 2381. There are 2 integers that are factors of 2381. The greatest factor of 2381 is 2381.
4. How to Find the LCM of 2377 and 2381?
Answer:
Least Common Multiple of 2377 and 2381 = 5659637
Step 1: Find the prime factorization of 2377
2377 = 2377
Step 2: Find the prime factorization of 2381
2381 = 2381
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5659637 = 2377 x 2381
Step 4: Therefore, the least common multiple of 2377 and 2381 is 5659637.