Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8363 and 8370 the smallest integer that is 69998310 that is divisible by both numbers.
Least Common Multiple (LCM) of 8363 and 8370 is 69998310.
LCM(8363,8370) = 69998310
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 8363 and 8370. First we will calculate the prime factors of 8363 and 8370.
Prime Factorization of 8363
8363 | 8363 |
1 |
Prime factors of 8363 are 8363. Prime factorization of 8363 in exponential form is:
8363 = 83631
Prime Factorization of 8370
2 | 8370 |
3 | 4185 |
3 | 1395 |
3 | 465 |
5 | 155 |
31 | 31 |
1 |
Prime factors of 8370 are 2, 3, 5,31. Prime factorization of 8370 in exponential form is:
8370 = 21×33×51×311
Now multiplying the highest exponent prime factors to calculate the LCM of 8363 and 8370.
LCM(8363,8370) = 21×33×51×311×83631
LCM(8363,8370) = 69998310
Factors of 8363
List of positive integer factors of 8363 that divides 8363 without a remainder.
1, 8363
Factors of 8370
List of positive integer factors of 8370 that divides 8370 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 31, 45, 54, 62, 90, 93, 135, 155, 186, 270, 279, 310, 465, 558, 837, 930, 1395, 1674, 2790, 4185, 8370
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8363 and 8370, than apply into the LCM equation.
GCF(8363,8370) = 1
LCM(8363,8370) = ( 8363 × 8370) / 1
LCM(8363,8370) = 69998310 / 1
LCM(8363,8370) = 69998310
(i) The LCM of 8370 and 8363 is associative
LCM of 8363 and 8370 = LCM of 8370 and 8363
1. What is the LCM of 8363 and 8370?
Answer: LCM of 8363 and 8370 is 69998310.
2. What are the Factors of 8363?
Answer: Factors of 8363 are 1, 8363. There are 2 integers that are factors of 8363. The greatest factor of 8363 is 8363.
3. What are the Factors of 8370?
Answer: Factors of 8370 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 31, 45, 54, 62, 90, 93, 135, 155, 186, 270, 279, 310, 465, 558, 837, 930, 1395, 1674, 2790, 4185, 8370. There are 32 integers that are factors of 8370. The greatest factor of 8370 is 8370.
4. How to Find the LCM of 8363 and 8370?
Answer:
Least Common Multiple of 8363 and 8370 = 69998310
Step 1: Find the prime factorization of 8363
8363 = 8363
Step 2: Find the prime factorization of 8370
8370 = 2 x 3 x 3 x 3 x 5 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 69998310 = 2 x 3 x 3 x 3 x 5 x 31 x 8363
Step 4: Therefore, the least common multiple of 8363 and 8370 is 69998310.