Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8351 and 8358 the smallest integer that is 9971094 that is divisible by both numbers.
Least Common Multiple (LCM) of 8351 and 8358 is 9971094.
LCM(8351,8358) = 9971094
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 8351 and 8358. First we will calculate the prime factors of 8351 and 8358.
Prime Factorization of 8351
7 | 8351 |
1193 | 1193 |
1 |
Prime factors of 8351 are 7,1193. Prime factorization of 8351 in exponential form is:
8351 = 71×11931
Prime Factorization of 8358
2 | 8358 |
3 | 4179 |
7 | 1393 |
199 | 199 |
1 |
Prime factors of 8358 are 2, 3, 7,199. Prime factorization of 8358 in exponential form is:
8358 = 21×31×71×1991
Now multiplying the highest exponent prime factors to calculate the LCM of 8351 and 8358.
LCM(8351,8358) = 21×31×71×1991×11931
LCM(8351,8358) = 9971094
Factors of 8351
List of positive integer factors of 8351 that divides 8351 without a remainder.
1, 7, 1193, 8351
Factors of 8358
List of positive integer factors of 8358 that divides 8358 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 199, 398, 597, 1194, 1393, 2786, 4179, 8358
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8351 and 8358, than apply into the LCM equation.
GCF(8351,8358) = 7
LCM(8351,8358) = ( 8351 × 8358) / 7
LCM(8351,8358) = 69797658 / 7
LCM(8351,8358) = 9971094
(i) The LCM of 8358 and 8351 is associative
LCM of 8351 and 8358 = LCM of 8358 and 8351
1. What is the LCM of 8351 and 8358?
Answer: LCM of 8351 and 8358 is 9971094.
2. What are the Factors of 8351?
Answer: Factors of 8351 are 1, 7, 1193, 8351. There are 4 integers that are factors of 8351. The greatest factor of 8351 is 8351.
3. What are the Factors of 8358?
Answer: Factors of 8358 are 1, 2, 3, 6, 7, 14, 21, 42, 199, 398, 597, 1194, 1393, 2786, 4179, 8358. There are 16 integers that are factors of 8358. The greatest factor of 8358 is 8358.
4. How to Find the LCM of 8351 and 8358?
Answer:
Least Common Multiple of 8351 and 8358 = 9971094
Step 1: Find the prime factorization of 8351
8351 = 7 x 1193
Step 2: Find the prime factorization of 8358
8358 = 2 x 3 x 7 x 199
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9971094 = 2 x 3 x 7 x 199 x 1193
Step 4: Therefore, the least common multiple of 8351 and 8358 is 9971094.