Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6441 and 6445 the smallest integer that is 41512245 that is divisible by both numbers.
Least Common Multiple (LCM) of 6441 and 6445 is 41512245.
LCM(6441,6445) = 41512245
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 6441 and 6445. First we will calculate the prime factors of 6441 and 6445.
Prime Factorization of 6441
3 | 6441 |
19 | 2147 |
113 | 113 |
1 |
Prime factors of 6441 are 3, 19,113. Prime factorization of 6441 in exponential form is:
6441 = 31×191×1131
Prime Factorization of 6445
5 | 6445 |
1289 | 1289 |
1 |
Prime factors of 6445 are 5,1289. Prime factorization of 6445 in exponential form is:
6445 = 51×12891
Now multiplying the highest exponent prime factors to calculate the LCM of 6441 and 6445.
LCM(6441,6445) = 31×51×191×1131×12891
LCM(6441,6445) = 41512245
Factors of 6441
List of positive integer factors of 6441 that divides 6441 without a remainder.
1, 3, 19, 57, 113, 339, 2147, 6441
Factors of 6445
List of positive integer factors of 6445 that divides 6445 without a remainder.
1, 5, 1289, 6445
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6441 and 6445, than apply into the LCM equation.
GCF(6441,6445) = 1
LCM(6441,6445) = ( 6441 × 6445) / 1
LCM(6441,6445) = 41512245 / 1
LCM(6441,6445) = 41512245
(i) The LCM of 6445 and 6441 is associative
LCM of 6441 and 6445 = LCM of 6445 and 6441
1. What is the LCM of 6441 and 6445?
Answer: LCM of 6441 and 6445 is 41512245.
2. What are the Factors of 6441?
Answer: Factors of 6441 are 1, 3, 19, 57, 113, 339, 2147, 6441. There are 8 integers that are factors of 6441. The greatest factor of 6441 is 6441.
3. What are the Factors of 6445?
Answer: Factors of 6445 are 1, 5, 1289, 6445. There are 4 integers that are factors of 6445. The greatest factor of 6445 is 6445.
4. How to Find the LCM of 6441 and 6445?
Answer:
Least Common Multiple of 6441 and 6445 = 41512245
Step 1: Find the prime factorization of 6441
6441 = 3 x 19 x 113
Step 2: Find the prime factorization of 6445
6445 = 5 x 1289
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 41512245 = 3 x 5 x 19 x 113 x 1289
Step 4: Therefore, the least common multiple of 6441 and 6445 is 41512245.