Least Common Multiple of 437 and 441
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 437 and 441 the smallest integer that is 192717 that is divisible by both numbers.
Least Common Multiple (LCM) of 437 and 441 is 192717.
LCM(437,441) = 192717
LCM of 437 and 441
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 437 and 441 by Prime method
- Least Common Multiple of 437 and 441 with GCF Formula
LCM of 437 and 441 is 192717
Least common multiple can be found by multiplying the highest exponent prime factors of 437 and 441. First we will calculate the prime factors of 437 and 441.
Prime Factorization of 437
| 19 | 437 |
| 23 | 23 |
| 1 |
Prime factors of 437 are 19,23. Prime factorization of 437 in exponential form is:
437 = 191×231
Prime Factorization of 441
| 3 | 441 |
| 3 | 147 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 441 are 3,7. Prime factorization of 441 in exponential form is:
441 = 32×72
Now multiplying the highest exponent prime factors to calculate the LCM of 437 and 441.
LCM(437,441) = 32×72×191×231
LCM(437,441) = 192717
Factors of 437
List of positive integer factors of 437 that divides 437 without a remainder.
1, 19, 23, 437
Factors of 441
List of positive integer factors of 441 that divides 441 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147, 441
Least Common Multiple of 437 and 441 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 437 and 441, than apply into the LCM equation.
GCF(437,441) = 1
LCM(437,441) = ( 437 × 441) / 1
LCM(437,441) = 192717 / 1
LCM(437,441) = 192717
Properties of LCM 437 and 441
(i) The LCM of 441 and 437 is associative
LCM of 437 and 441 = LCM of 441 and 437
Related Least Common Multiples of 437
Related Least Common Multiples of 441
Frequently Asked Questions on LCM of 437 and 441
1. What is the LCM of 437 and 441?
Answer: LCM of 437 and 441 is 192717.
2. What are the Factors of 437?
Answer: Factors of 437 are 1, 19, 23, 437. There are 4 integers that are factors of 437. The greatest factor of 437 is 437.
3. What are the Factors of 441?
Answer: Factors of 441 are 1, 3, 7, 9, 21, 49, 63, 147, 441. There are 9 integers that are factors of 441. The greatest factor of 441 is 441.
4. How to Find the LCM of 437 and 441?
Answer:
Least Common Multiple of 437 and 441 = 192717
Step 1: Find the prime factorization of 437
437 = 19 x 23
Step 2: Find the prime factorization of 441
441 = 3 x 3 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 192717 = 3 x 3 x 7 x 7 x 19 x 23
Step 4: Therefore, the least common multiple of 437 and 441 is 192717.