Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8385 and 8393 the smallest integer that is 70375305 that is divisible by both numbers.
Least Common Multiple (LCM) of 8385 and 8393 is 70375305.
LCM(8385,8393) = 70375305
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 8385 and 8393. First we will calculate the prime factors of 8385 and 8393.
Prime Factorization of 8385
3 | 8385 |
5 | 2795 |
13 | 559 |
43 | 43 |
1 |
Prime factors of 8385 are 3, 5, 13,43. Prime factorization of 8385 in exponential form is:
8385 = 31×51×131×431
Prime Factorization of 8393
7 | 8393 |
11 | 1199 |
109 | 109 |
1 |
Prime factors of 8393 are 7, 11,109. Prime factorization of 8393 in exponential form is:
8393 = 71×111×1091
Now multiplying the highest exponent prime factors to calculate the LCM of 8385 and 8393.
LCM(8385,8393) = 31×51×71×111×131×431×1091
LCM(8385,8393) = 70375305
Factors of 8385
List of positive integer factors of 8385 that divides 8385 without a remainder.
1, 3, 5, 13, 15, 39, 43, 65, 129, 195, 215, 559, 645, 1677, 2795, 8385
Factors of 8393
List of positive integer factors of 8393 that divides 8393 without a remainder.
1, 7, 11, 77, 109, 763, 1199, 8393
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8385 and 8393, than apply into the LCM equation.
GCF(8385,8393) = 1
LCM(8385,8393) = ( 8385 × 8393) / 1
LCM(8385,8393) = 70375305 / 1
LCM(8385,8393) = 70375305
(i) The LCM of 8393 and 8385 is associative
LCM of 8385 and 8393 = LCM of 8393 and 8385
1. What is the LCM of 8385 and 8393?
Answer: LCM of 8385 and 8393 is 70375305.
2. What are the Factors of 8385?
Answer: Factors of 8385 are 1, 3, 5, 13, 15, 39, 43, 65, 129, 195, 215, 559, 645, 1677, 2795, 8385. There are 16 integers that are factors of 8385. The greatest factor of 8385 is 8385.
3. What are the Factors of 8393?
Answer: Factors of 8393 are 1, 7, 11, 77, 109, 763, 1199, 8393. There are 8 integers that are factors of 8393. The greatest factor of 8393 is 8393.
4. How to Find the LCM of 8385 and 8393?
Answer:
Least Common Multiple of 8385 and 8393 = 70375305
Step 1: Find the prime factorization of 8385
8385 = 3 x 5 x 13 x 43
Step 2: Find the prime factorization of 8393
8393 = 7 x 11 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 70375305 = 3 x 5 x 7 x 11 x 13 x 43 x 109
Step 4: Therefore, the least common multiple of 8385 and 8393 is 70375305.