Least Common Multiple of 437 and 443
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 443 the smallest integer that is 193591 that is divisible by both numbers.
Least Common Multiple (LCM) of 437 and 443 is 193591.
LCM(437,443) = 193591
LCM of 437 and 443
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 437 and 443 by Prime method
- Least Common Multiple of 437 and 443 with GCF Formula
LCM of 437 and 443 is 193591
Least common multiple can be found by multiplying the highest exponent prime factors of 437 and 443. First we will calculate the prime factors of 437 and 443.
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 443
| 443 | 443 |
| 1 |
Prime factors of 443 are 443. Prime factorization of 443 in exponential form is:
443 = 4431
Now multiplying the highest exponent prime factors to calculate the LCM of 437 and 443.
LCM(437,443) = 191×231×4431
LCM(437,443) = 193591
Factors of 437
List of positive integer factors of 437 that divides 437 without a remainder.
1, 19, 23, 437
Factors of 443
List of positive integer factors of 443 that divides 443 without a remainder.
1, 443
Least Common Multiple of 437 and 443 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 443, than apply into the LCM equation.
GCF(437,443) = 1
LCM(437,443) = ( 437 × 443) / 1
LCM(437,443) = 193591 / 1
LCM(437,443) = 193591
Properties of LCM 437 and 443
(i) The LCM of 443 and 437 is associative
LCM of 437 and 443 = LCM of 443 and 437
Related Least Common Multiples of 437
Related Least Common Multiples of 443
Frequently Asked Questions on LCM of 437 and 443
1. What is the LCM of 437 and 443?
Answer: LCM of 437 and 443 is 193591.
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 443?
Answer: Factors of 443 are 1, 443. There are 2 integers that are factors of 443. The greatest factor of 443 is 443.
4. How to Find the LCM of 437 and 443?
Answer:
Least Common Multiple of 437 and 443 = 193591
Step 1: Find the prime factorization of 437
437 = 19 x 23
Step 2: Find the prime factorization of 443
443 = 443
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 193591 = 19 x 23 x 443
Step 4: Therefore, the least common multiple of 437 and 443 is 193591.
