Least Common Multiple of 434 and 435
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 434 and 435 the smallest integer that is 188790 that is divisible by both numbers.
Least Common Multiple (LCM) of 434 and 435 is 188790.
LCM(434,435) = 188790
LCM of 434 and 435
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 434 and 435 by Prime method
- Least Common Multiple of 434 and 435 with GCF Formula
LCM of 434 and 435 is 188790
Least common multiple can be found by multiplying the highest exponent prime factors of 434 and 435. First we will calculate the prime factors of 434 and 435.
Prime Factorization of 434
| 2 | 434 |
| 7 | 217 |
| 31 | 31 |
| 1 |
Prime factors of 434 are 2, 7,31. Prime factorization of 434 in exponential form is:
434 = 21×71×311
Prime Factorization of 435
| 3 | 435 |
| 5 | 145 |
| 29 | 29 |
| 1 |
Prime factors of 435 are 3, 5,29. Prime factorization of 435 in exponential form is:
435 = 31×51×291
Now multiplying the highest exponent prime factors to calculate the LCM of 434 and 435.
LCM(434,435) = 21×31×51×71×291×311
LCM(434,435) = 188790
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Factors of 435
List of positive integer factors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
Least Common Multiple of 434 and 435 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 434 and 435, than apply into the LCM equation.
GCF(434,435) = 1
LCM(434,435) = ( 434 × 435) / 1
LCM(434,435) = 188790 / 1
LCM(434,435) = 188790
Properties of LCM 434 and 435
(i) The LCM of 435 and 434 is associative
LCM of 434 and 435 = LCM of 435 and 434
Related Least Common Multiples of 434
Related Least Common Multiples of 435
Frequently Asked Questions on LCM of 434 and 435
1. What is the LCM of 434 and 435?
Answer: LCM of 434 and 435 is 188790.
2. What are the Factors of 434?
Answer: Factors of 434 are 1, 2, 7, 14, 31, 62, 217, 434. There are 8 integers that are factors of 434. The greatest factor of 434 is 434.
3. What are the Factors of 435?
Answer: Factors of 435 are 1, 3, 5, 15, 29, 87, 145, 435. There are 8 integers that are factors of 435. The greatest factor of 435 is 435.
4. How to Find the LCM of 434 and 435?
Answer:
Least Common Multiple of 434 and 435 = 188790
Step 1: Find the prime factorization of 434
434 = 2 x 7 x 31
Step 2: Find the prime factorization of 435
435 = 3 x 5 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 188790 = 2 x 3 x 5 x 7 x 29 x 31
Step 4: Therefore, the least common multiple of 434 and 435 is 188790.
