Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 82346 and 82352 the smallest integer that is 3390678896 that is divisible by both numbers.
Least Common Multiple (LCM) of 82346 and 82352 is 3390678896.
LCM(82346,82352) = 3390678896
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 82346 and 82352. First we will calculate the prime factors of 82346 and 82352.
Prime Factorization of 82346
2 | 82346 |
11 | 41173 |
19 | 3743 |
197 | 197 |
1 |
Prime factors of 82346 are 2, 11, 19,197. Prime factorization of 82346 in exponential form is:
82346 = 21×111×191×1971
Prime Factorization of 82352
2 | 82352 |
2 | 41176 |
2 | 20588 |
2 | 10294 |
5147 | 5147 |
1 |
Prime factors of 82352 are 2,5147. Prime factorization of 82352 in exponential form is:
82352 = 24×51471
Now multiplying the highest exponent prime factors to calculate the LCM of 82346 and 82352.
LCM(82346,82352) = 24×111×191×1971×51471
LCM(82346,82352) = 3390678896
Factors of 82346
List of positive integer factors of 82346 that divides 82346 without a remainder.
1, 2, 11, 19, 22, 38, 197, 209, 394, 418, 2167, 3743, 4334, 7486, 41173, 82346
Factors of 82352
List of positive integer factors of 82352 that divides 82352 without a remainder.
1, 2, 4, 8, 16, 5147, 10294, 20588, 41176, 82352
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82346 and 82352, than apply into the LCM equation.
GCF(82346,82352) = 2
LCM(82346,82352) = ( 82346 × 82352) / 2
LCM(82346,82352) = 6781357792 / 2
LCM(82346,82352) = 3390678896
(i) The LCM of 82352 and 82346 is associative
LCM of 82346 and 82352 = LCM of 82352 and 82346
1. What is the LCM of 82346 and 82352?
Answer: LCM of 82346 and 82352 is 3390678896.
2. What are the Factors of 82346?
Answer: Factors of 82346 are 1, 2, 11, 19, 22, 38, 197, 209, 394, 418, 2167, 3743, 4334, 7486, 41173, 82346. There are 16 integers that are factors of 82346. The greatest factor of 82346 is 82346.
3. What are the Factors of 82352?
Answer: Factors of 82352 are 1, 2, 4, 8, 16, 5147, 10294, 20588, 41176, 82352. There are 10 integers that are factors of 82352. The greatest factor of 82352 is 82352.
4. How to Find the LCM of 82346 and 82352?
Answer:
Least Common Multiple of 82346 and 82352 = 3390678896
Step 1: Find the prime factorization of 82346
82346 = 2 x 11 x 19 x 197
Step 2: Find the prime factorization of 82352
82352 = 2 x 2 x 2 x 2 x 5147
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3390678896 = 2 x 2 x 2 x 2 x 11 x 19 x 197 x 5147
Step 4: Therefore, the least common multiple of 82346 and 82352 is 3390678896.