Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8264 and 8271 the smallest integer that is 68351544 that is divisible by both numbers.
Least Common Multiple (LCM) of 8264 and 8271 is 68351544.
LCM(8264,8271) = 68351544
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 8264 and 8271. First we will calculate the prime factors of 8264 and 8271.
Prime Factorization of 8264
2 | 8264 |
2 | 4132 |
2 | 2066 |
1033 | 1033 |
1 |
Prime factors of 8264 are 2,1033. Prime factorization of 8264 in exponential form is:
8264 = 23×10331
Prime Factorization of 8271
3 | 8271 |
3 | 2757 |
919 | 919 |
1 |
Prime factors of 8271 are 3,919. Prime factorization of 8271 in exponential form is:
8271 = 32×9191
Now multiplying the highest exponent prime factors to calculate the LCM of 8264 and 8271.
LCM(8264,8271) = 23×32×9191×10331
LCM(8264,8271) = 68351544
Factors of 8264
List of positive integer factors of 8264 that divides 8264 without a remainder.
1, 2, 4, 8, 1033, 2066, 4132, 8264
Factors of 8271
List of positive integer factors of 8271 that divides 8271 without a remainder.
1, 3, 9, 919, 2757, 8271
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8264 and 8271, than apply into the LCM equation.
GCF(8264,8271) = 1
LCM(8264,8271) = ( 8264 × 8271) / 1
LCM(8264,8271) = 68351544 / 1
LCM(8264,8271) = 68351544
(i) The LCM of 8271 and 8264 is associative
LCM of 8264 and 8271 = LCM of 8271 and 8264
1. What is the LCM of 8264 and 8271?
Answer: LCM of 8264 and 8271 is 68351544.
2. What are the Factors of 8264?
Answer: Factors of 8264 are 1, 2, 4, 8, 1033, 2066, 4132, 8264. There are 8 integers that are factors of 8264. The greatest factor of 8264 is 8264.
3. What are the Factors of 8271?
Answer: Factors of 8271 are 1, 3, 9, 919, 2757, 8271. There are 6 integers that are factors of 8271. The greatest factor of 8271 is 8271.
4. How to Find the LCM of 8264 and 8271?
Answer:
Least Common Multiple of 8264 and 8271 = 68351544
Step 1: Find the prime factorization of 8264
8264 = 2 x 2 x 2 x 1033
Step 2: Find the prime factorization of 8271
8271 = 3 x 3 x 919
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 68351544 = 2 x 2 x 2 x 3 x 3 x 919 x 1033
Step 4: Therefore, the least common multiple of 8264 and 8271 is 68351544.