Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1445 and 1447 the smallest integer that is 2090915 that is divisible by both numbers.
Least Common Multiple (LCM) of 1445 and 1447 is 2090915.
LCM(1445,1447) = 2090915
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 1445 and 1447. First we will calculate the prime factors of 1445 and 1447.
Prime Factorization of 1445
5 | 1445 |
17 | 289 |
17 | 17 |
1 |
Prime factors of 1445 are 5,17. Prime factorization of 1445 in exponential form is:
1445 = 51×172
Prime Factorization of 1447
1447 | 1447 |
1 |
Prime factors of 1447 are 1447. Prime factorization of 1447 in exponential form is:
1447 = 14471
Now multiplying the highest exponent prime factors to calculate the LCM of 1445 and 1447.
LCM(1445,1447) = 51×172×14471
LCM(1445,1447) = 2090915
Factors of 1445
List of positive integer factors of 1445 that divides 1445 without a remainder.
1, 5, 17, 85, 289, 1445
Factors of 1447
List of positive integer factors of 1447 that divides 1447 without a remainder.
1, 1447
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1445 and 1447, than apply into the LCM equation.
GCF(1445,1447) = 1
LCM(1445,1447) = ( 1445 × 1447) / 1
LCM(1445,1447) = 2090915 / 1
LCM(1445,1447) = 2090915
(i) The LCM of 1447 and 1445 is associative
LCM of 1445 and 1447 = LCM of 1447 and 1445
1. What is the LCM of 1445 and 1447?
Answer: LCM of 1445 and 1447 is 2090915.
2. What are the Factors of 1445?
Answer: Factors of 1445 are 1, 5, 17, 85, 289, 1445. There are 6 integers that are factors of 1445. The greatest factor of 1445 is 1445.
3. What are the Factors of 1447?
Answer: Factors of 1447 are 1, 1447. There are 2 integers that are factors of 1447. The greatest factor of 1447 is 1447.
4. How to Find the LCM of 1445 and 1447?
Answer:
Least Common Multiple of 1445 and 1447 = 2090915
Step 1: Find the prime factorization of 1445
1445 = 5 x 17 x 17
Step 2: Find the prime factorization of 1447
1447 = 1447
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2090915 = 5 x 17 x 17 x 1447
Step 4: Therefore, the least common multiple of 1445 and 1447 is 2090915.