Least Common Multiple of 435 and 437
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 435 and 437 the smallest integer that is 190095 that is divisible by both numbers.
Least Common Multiple (LCM) of 435 and 437 is 190095.
LCM(435,437) = 190095
LCM of 435 and 437
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 435 and 437 by Prime method
- Least Common Multiple of 435 and 437 with GCF Formula
LCM of 435 and 437 is 190095
Least common multiple can be found by multiplying the highest exponent prime factors of 435 and 437. First we will calculate the prime factors of 435 and 437.
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
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
Now multiplying the highest exponent prime factors to calculate the LCM of 435 and 437.
LCM(435,437) = 31×51×191×231×291
LCM(435,437) = 190095
Factors of 435
List of positive integer factors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
Factors of 437
List of positive integer factors of 437 that divides 437 without a remainder.
1, 19, 23, 437
Least Common Multiple of 435 and 437 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 435 and 437, than apply into the LCM equation.
GCF(435,437) = 1
LCM(435,437) = ( 435 × 437) / 1
LCM(435,437) = 190095 / 1
LCM(435,437) = 190095
Properties of LCM 435 and 437
(i) The LCM of 437 and 435 is associative
LCM of 435 and 437 = LCM of 437 and 435
Related Least Common Multiples of 435
Related Least Common Multiples of 437
Frequently Asked Questions on LCM of 435 and 437
1. What is the LCM of 435 and 437?
Answer: LCM of 435 and 437 is 190095.
2. 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.
3. 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.
4. How to Find the LCM of 435 and 437?
Answer:
Least Common Multiple of 435 and 437 = 190095
Step 1: Find the prime factorization of 435
435 = 3 x 5 x 29
Step 2: Find the prime factorization of 437
437 = 19 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 190095 = 3 x 5 x 19 x 23 x 29
Step 4: Therefore, the least common multiple of 435 and 437 is 190095.