Least Common Multiple of 4351 and 4355
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4351 and 4355 the smallest integer that is 18948605 that is divisible by both numbers.
Least Common Multiple (LCM) of 4351 and 4355 is 18948605.
LCM(4351,4355) = 18948605
LCM of 4351 and 4355
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4351 and 4355 by Prime method
- Least Common Multiple of 4351 and 4355 with GCF Formula
LCM of 4351 and 4355 is 18948605
Least common multiple can be found by multiplying the highest exponent prime factors of 4351 and 4355. First we will calculate the prime factors of 4351 and 4355.
Prime Factorization of 4351
| 19 | 4351 |
| 229 | 229 |
| 1 |
Prime factors of 4351 are 19,229. Prime factorization of 4351 in exponential form is:
4351 = 191×2291
Prime Factorization of 4355
| 5 | 4355 |
| 13 | 871 |
| 67 | 67 |
| 1 |
Prime factors of 4355 are 5, 13,67. Prime factorization of 4355 in exponential form is:
4355 = 51×131×671
Now multiplying the highest exponent prime factors to calculate the LCM of 4351 and 4355.
LCM(4351,4355) = 51×131×191×671×2291
LCM(4351,4355) = 18948605
Factors of 4351
List of positive integer factors of 4351 that divides 4351 without a remainder.
1, 19, 229, 4351
Factors of 4355
List of positive integer factors of 4355 that divides 4355 without a remainder.
1, 5, 13, 65, 67, 335, 871, 4355
Least Common Multiple of 4351 and 4355 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4351 and 4355, than apply into the LCM equation.
GCF(4351,4355) = 1
LCM(4351,4355) = ( 4351 × 4355) / 1
LCM(4351,4355) = 18948605 / 1
LCM(4351,4355) = 18948605
Properties of LCM 4351 and 4355
(i) The LCM of 4355 and 4351 is associative
LCM of 4351 and 4355 = LCM of 4355 and 4351
Related Least Common Multiples of 4351
Related Least Common Multiples of 4355
Frequently Asked Questions on LCM of 4351 and 4355
1. What is the LCM of 4351 and 4355?
Answer: LCM of 4351 and 4355 is 18948605.
2. What are the Factors of 4351?
Answer: Factors of 4351 are 1, 19, 229, 4351. There are 4 integers that are factors of 4351. The greatest factor of 4351 is 4351.
3. What are the Factors of 4355?
Answer: Factors of 4355 are 1, 5, 13, 65, 67, 335, 871, 4355. There are 8 integers that are factors of 4355. The greatest factor of 4355 is 4355.
4. How to Find the LCM of 4351 and 4355?
Answer:
Least Common Multiple of 4351 and 4355 = 18948605
Step 1: Find the prime factorization of 4351
4351 = 19 x 229
Step 2: Find the prime factorization of 4355
4355 = 5 x 13 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18948605 = 5 x 13 x 19 x 67 x 229
Step 4: Therefore, the least common multiple of 4351 and 4355 is 18948605.