Least Common Multiple of 436 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 436 and 443 the smallest integer that is 193148 that is divisible by both numbers.
Least Common Multiple (LCM) of 436 and 443 is 193148.
LCM(436,443) = 193148
LCM of 436 and 443
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 436 and 443 by Prime method
- Least Common Multiple of 436 and 443 with GCF Formula
LCM of 436 and 443 is 193148
Least common multiple can be found by multiplying the highest exponent prime factors of 436 and 443. First we will calculate the prime factors of 436 and 443.
Prime Factorization of 436
| 2 | 436 |
| 2 | 218 |
| 109 | 109 |
| 1 |
Prime factors of 436 are 2,109. Prime factorization of 436 in exponential form is:
436 = 22×1091
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 436 and 443.
LCM(436,443) = 22×1091×4431
LCM(436,443) = 193148
Factors of 436
List of positive integer factors of 436 that divides 436 without a remainder.
1, 2, 4, 109, 218, 436
Factors of 443
List of positive integer factors of 443 that divides 443 without a remainder.
1, 443
Least Common Multiple of 436 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 436 and 443, than apply into the LCM equation.
GCF(436,443) = 1
LCM(436,443) = ( 436 × 443) / 1
LCM(436,443) = 193148 / 1
LCM(436,443) = 193148
Properties of LCM 436 and 443
(i) The LCM of 443 and 436 is associative
LCM of 436 and 443 = LCM of 443 and 436
Related Least Common Multiples of 436
Related Least Common Multiples of 443
Frequently Asked Questions on LCM of 436 and 443
1. What is the LCM of 436 and 443?
Answer: LCM of 436 and 443 is 193148.
2. What are the Factors of 436?
Answer: Factors of 436 are 1, 2, 4, 109, 218, 436. There are 6 integers that are factors of 436. The greatest factor of 436 is 436.
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 436 and 443?
Answer:
Least Common Multiple of 436 and 443 = 193148
Step 1: Find the prime factorization of 436
436 = 2 x 2 x 109
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 = 193148 = 2 x 2 x 109 x 443
Step 4: Therefore, the least common multiple of 436 and 443 is 193148.