Least Common Multiple of 430 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 430 and 435 the smallest integer that is 37410 that is divisible by both numbers.
Least Common Multiple (LCM) of 430 and 435 is 37410.
LCM(430,435) = 37410
LCM of 430 and 435
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 430 and 435 by Prime method
- Least Common Multiple of 430 and 435 with GCF Formula
LCM of 430 and 435 is 37410
Least common multiple can be found by multiplying the highest exponent prime factors of 430 and 435. First we will calculate the prime factors of 430 and 435.
Prime Factorization of 430
| 2 | 430 |
| 5 | 215 |
| 43 | 43 |
| 1 |
Prime factors of 430 are 2, 5,43. Prime factorization of 430 in exponential form is:
430 = 21×51×431
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 430 and 435.
LCM(430,435) = 21×31×51×291×431
LCM(430,435) = 37410
Factors of 430
List of positive integer factors of 430 that divides 430 without a remainder.
1, 2, 5, 10, 43, 86, 215, 430
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 430 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 430 and 435, than apply into the LCM equation.
GCF(430,435) = 5
LCM(430,435) = ( 430 × 435) / 5
LCM(430,435) = 187050 / 5
LCM(430,435) = 37410
Properties of LCM 430 and 435
(i) The LCM of 435 and 430 is associative
LCM of 430 and 435 = LCM of 435 and 430
Related Least Common Multiples of 430
Related Least Common Multiples of 435
Frequently Asked Questions on LCM of 430 and 435
1. What is the LCM of 430 and 435?
Answer: LCM of 430 and 435 is 37410.
2. What are the Factors of 430?
Answer: Factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430. There are 8 integers that are factors of 430. The greatest factor of 430 is 430.
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 430 and 435?
Answer:
Least Common Multiple of 430 and 435 = 37410
Step 1: Find the prime factorization of 430
430 = 2 x 5 x 43
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 = 37410 = 2 x 3 x 5 x 29 x 43
Step 4: Therefore, the least common multiple of 430 and 435 is 37410.