Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4346 and 4351 the smallest integer that is 18909446 that is divisible by both numbers.
Least Common Multiple (LCM) of 4346 and 4351 is 18909446.
LCM(4346,4351) = 18909446
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 4346 and 4351. First we will calculate the prime factors of 4346 and 4351.
Prime Factorization of 4346
2 | 4346 |
41 | 2173 |
53 | 53 |
1 |
Prime factors of 4346 are 2, 41,53. Prime factorization of 4346 in exponential form is:
4346 = 21×411×531
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 4346 and 4351.
LCM(4346,4351) = 21×191×411×531×2291
LCM(4346,4351) = 18909446
Factors of 4346
List of positive integer factors of 4346 that divides 4346 without a remainder.
1, 2, 41, 53, 82, 106, 2173, 4346
Factors of 4351
List of positive integer factors of 4351 that divides 4351 without a remainder.
1, 19, 229, 4351
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4346 and 4351, than apply into the LCM equation.
GCF(4346,4351) = 1
LCM(4346,4351) = ( 4346 × 4351) / 1
LCM(4346,4351) = 18909446 / 1
LCM(4346,4351) = 18909446
(i) The LCM of 4351 and 4346 is associative
LCM of 4346 and 4351 = LCM of 4351 and 4346
1. What is the LCM of 4346 and 4351?
Answer: LCM of 4346 and 4351 is 18909446.
2. What are the Factors of 4346?
Answer: Factors of 4346 are 1, 2, 41, 53, 82, 106, 2173, 4346. There are 8 integers that are factors of 4346. The greatest factor of 4346 is 4346.
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 4346 and 4351?
Answer:
Least Common Multiple of 4346 and 4351 = 18909446
Step 1: Find the prime factorization of 4346
4346 = 2 x 41 x 53
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 = 18909446 = 2 x 19 x 41 x 53 x 229
Step 4: Therefore, the least common multiple of 4346 and 4351 is 18909446.