Least Common Multiple of 4345 and 4351
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4345 and 4351 the smallest integer that is 18905095 that is divisible by both numbers.
Least Common Multiple (LCM) of 4345 and 4351 is 18905095.
LCM(4345,4351) = 18905095
LCM of 4345 and 4351
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4345 and 4351 by Prime method
- Least Common Multiple of 4345 and 4351 with GCF Formula
LCM of 4345 and 4351 is 18905095
Least common multiple can be found by multiplying the highest exponent prime factors of 4345 and 4351. First we will calculate the prime factors of 4345 and 4351.
Prime Factorization of 4345
| 5 | 4345 |
| 11 | 869 |
| 79 | 79 |
| 1 |
Prime factors of 4345 are 5, 11,79. Prime factorization of 4345 in exponential form is:
4345 = 51×111×791
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4345 and 4351.
LCM(4345,4351) = 51×111×191×791×2291
LCM(4345,4351) = 18905095
Factors of 4345
List of positive integer factors of 4345 that divides 4345 without a remainder.
1, 5, 11, 55, 79, 395, 869, 4345
Factors of 4351
List of positive integer factors of 4351 that divides 4351 without a remainder.
1, 19, 229, 4351
Least Common Multiple of 4345 and 4351 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4345 and 4351, than apply into the LCM equation.
GCF(4345,4351) = 1
LCM(4345,4351) = ( 4345 × 4351) / 1
LCM(4345,4351) = 18905095 / 1
LCM(4345,4351) = 18905095
Properties of LCM 4345 and 4351
(i) The LCM of 4351 and 4345 is associative
LCM of 4345 and 4351 = LCM of 4351 and 4345
Related Least Common Multiples of 4345
Related Least Common Multiples of 4351
Frequently Asked Questions on LCM of 4345 and 4351
1. What is the LCM of 4345 and 4351?
Answer: LCM of 4345 and 4351 is 18905095.
2. What are the Factors of 4345?
Answer: Factors of 4345 are 1, 5, 11, 55, 79, 395, 869, 4345. There are 8 integers that are factors of 4345. The greatest factor of 4345 is 4345.
3. 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.
4. How to Find the LCM of 4345 and 4351?
Answer:
Least Common Multiple of 4345 and 4351 = 18905095
Step 1: Find the prime factorization of 4345
4345 = 5 x 11 x 79
Step 2: Find the prime factorization of 4351
4351 = 19 x 229
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18905095 = 5 x 11 x 19 x 79 x 229
Step 4: Therefore, the least common multiple of 4345 and 4351 is 18905095.