Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2437 and 2443 the smallest integer that is 5953591 that is divisible by both numbers.
Least Common Multiple (LCM) of 2437 and 2443 is 5953591.
LCM(2437,2443) = 5953591
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 2437 and 2443. First we will calculate the prime factors of 2437 and 2443.
Prime Factorization of 2437
2437 | 2437 |
1 |
Prime factors of 2437 are 2437. Prime factorization of 2437 in exponential form is:
2437 = 24371
Prime Factorization of 2443
7 | 2443 |
349 | 349 |
1 |
Prime factors of 2443 are 7,349. Prime factorization of 2443 in exponential form is:
2443 = 71×3491
Now multiplying the highest exponent prime factors to calculate the LCM of 2437 and 2443.
LCM(2437,2443) = 71×3491×24371
LCM(2437,2443) = 5953591
Factors of 2437
List of positive integer factors of 2437 that divides 2437 without a remainder.
1, 2437
Factors of 2443
List of positive integer factors of 2443 that divides 2443 without a remainder.
1, 7, 349, 2443
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2437 and 2443, than apply into the LCM equation.
GCF(2437,2443) = 1
LCM(2437,2443) = ( 2437 × 2443) / 1
LCM(2437,2443) = 5953591 / 1
LCM(2437,2443) = 5953591
(i) The LCM of 2443 and 2437 is associative
LCM of 2437 and 2443 = LCM of 2443 and 2437
1. What is the LCM of 2437 and 2443?
Answer: LCM of 2437 and 2443 is 5953591.
2. What are the Factors of 2437?
Answer: Factors of 2437 are 1, 2437. There are 2 integers that are factors of 2437. The greatest factor of 2437 is 2437.
3. What are the Factors of 2443?
Answer: Factors of 2443 are 1, 7, 349, 2443. There are 4 integers that are factors of 2443. The greatest factor of 2443 is 2443.
4. How to Find the LCM of 2437 and 2443?
Answer:
Least Common Multiple of 2437 and 2443 = 5953591
Step 1: Find the prime factorization of 2437
2437 = 2437
Step 2: Find the prime factorization of 2443
2443 = 7 x 349
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5953591 = 7 x 349 x 2437
Step 4: Therefore, the least common multiple of 2437 and 2443 is 5953591.