Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2443 and 2446 the smallest integer that is 5975578 that is divisible by both numbers.
Least Common Multiple (LCM) of 2443 and 2446 is 5975578.
LCM(2443,2446) = 5975578
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 2443 and 2446. First we will calculate the prime factors of 2443 and 2446.
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
Prime Factorization of 2446
2 | 2446 |
1223 | 1223 |
1 |
Prime factors of 2446 are 2,1223. Prime factorization of 2446 in exponential form is:
2446 = 21×12231
Now multiplying the highest exponent prime factors to calculate the LCM of 2443 and 2446.
LCM(2443,2446) = 21×71×3491×12231
LCM(2443,2446) = 5975578
Factors of 2443
List of positive integer factors of 2443 that divides 2443 without a remainder.
1, 7, 349, 2443
Factors of 2446
List of positive integer factors of 2446 that divides 2446 without a remainder.
1, 2, 1223, 2446
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2443 and 2446, than apply into the LCM equation.
GCF(2443,2446) = 1
LCM(2443,2446) = ( 2443 × 2446) / 1
LCM(2443,2446) = 5975578 / 1
LCM(2443,2446) = 5975578
(i) The LCM of 2446 and 2443 is associative
LCM of 2443 and 2446 = LCM of 2446 and 2443
1. What is the LCM of 2443 and 2446?
Answer: LCM of 2443 and 2446 is 5975578.
2. 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.
3. What are the Factors of 2446?
Answer: Factors of 2446 are 1, 2, 1223, 2446. There are 4 integers that are factors of 2446. The greatest factor of 2446 is 2446.
4. How to Find the LCM of 2443 and 2446?
Answer:
Least Common Multiple of 2443 and 2446 = 5975578
Step 1: Find the prime factorization of 2443
2443 = 7 x 349
Step 2: Find the prime factorization of 2446
2446 = 2 x 1223
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5975578 = 2 x 7 x 349 x 1223
Step 4: Therefore, the least common multiple of 2443 and 2446 is 5975578.