Least Common Multiple of 427 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 427 and 435 the smallest integer that is 185745 that is divisible by both numbers.
Least Common Multiple (LCM) of 427 and 435 is 185745.
LCM(427,435) = 185745
LCM of 427 and 435
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 427 and 435 by Prime method
- Least Common Multiple of 427 and 435 with GCF Formula
LCM of 427 and 435 is 185745
Least common multiple can be found by multiplying the highest exponent prime factors of 427 and 435. First we will calculate the prime factors of 427 and 435.
Prime Factorization of 427
| 7 | 427 |
| 61 | 61 |
| 1 |
Prime factors of 427 are 7,61. Prime factorization of 427 in exponential form is:
427 = 71×611
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 427 and 435.
LCM(427,435) = 31×51×71×291×611
LCM(427,435) = 185745
Factors of 427
List of positive integer factors of 427 that divides 427 without a remainder.
1, 7, 61, 427
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 427 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 427 and 435, than apply into the LCM equation.
GCF(427,435) = 1
LCM(427,435) = ( 427 × 435) / 1
LCM(427,435) = 185745 / 1
LCM(427,435) = 185745
Properties of LCM 427 and 435
(i) The LCM of 435 and 427 is associative
LCM of 427 and 435 = LCM of 435 and 427
Related Least Common Multiples of 427
Related Least Common Multiples of 435
Frequently Asked Questions on LCM of 427 and 435
1. What is the LCM of 427 and 435?
Answer: LCM of 427 and 435 is 185745.
2. What are the Factors of 427?
Answer: Factors of 427 are 1, 7, 61, 427. There are 4 integers that are factors of 427. The greatest factor of 427 is 427.
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 427 and 435?
Answer:
Least Common Multiple of 427 and 435 = 185745
Step 1: Find the prime factorization of 427
427 = 7 x 61
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 = 185745 = 3 x 5 x 7 x 29 x 61
Step 4: Therefore, the least common multiple of 427 and 435 is 185745.