Least Common Multiple of 1437 and 1445
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1437 and 1445 the smallest integer that is 2076465 that is divisible by both numbers.
Least Common Multiple (LCM) of 1437 and 1445 is 2076465.
LCM(1437,1445) = 2076465
LCM of 1437 and 1445
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1437 and 1445 by Prime method
- Least Common Multiple of 1437 and 1445 with GCF Formula
LCM of 1437 and 1445 is 2076465
Least common multiple can be found by multiplying the highest exponent prime factors of 1437 and 1445. First we will calculate the prime factors of 1437 and 1445.
Prime Factorization of 1437
| 3 | 1437 |
| 479 | 479 |
| 1 |
Prime factors of 1437 are 3,479. Prime factorization of 1437 in exponential form is:
1437 = 31×4791
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1437 and 1445.
LCM(1437,1445) = 31×51×172×4791
LCM(1437,1445) = 2076465
Factors of 1437
List of positive integer factors of 1437 that divides 1437 without a remainder.
1, 3, 479, 1437
Factors of 1445
List of positive integer factors of 1445 that divides 1445 without a remainder.
1, 5, 17, 85, 289, 1445
Least Common Multiple of 1437 and 1445 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1437 and 1445, than apply into the LCM equation.
GCF(1437,1445) = 1
LCM(1437,1445) = ( 1437 × 1445) / 1
LCM(1437,1445) = 2076465 / 1
LCM(1437,1445) = 2076465
Properties of LCM 1437 and 1445
(i) The LCM of 1445 and 1437 is associative
LCM of 1437 and 1445 = LCM of 1445 and 1437
Related Least Common Multiples of 1437
Related Least Common Multiples of 1445
Frequently Asked Questions on LCM of 1437 and 1445
1. What is the LCM of 1437 and 1445?
Answer: LCM of 1437 and 1445 is 2076465.
2. What are the Factors of 1437?
Answer: Factors of 1437 are 1, 3, 479, 1437. There are 4 integers that are factors of 1437. The greatest factor of 1437 is 1437.
3. 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.
4. How to Find the LCM of 1437 and 1445?
Answer:
Least Common Multiple of 1437 and 1445 = 2076465
Step 1: Find the prime factorization of 1437
1437 = 3 x 479
Step 2: Find the prime factorization of 1445
1445 = 5 x 17 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2076465 = 3 x 5 x 17 x 17 x 479
Step 4: Therefore, the least common multiple of 1437 and 1445 is 2076465.