Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8277 and 8281 the smallest integer that is 68541837 that is divisible by both numbers.
Least Common Multiple (LCM) of 8277 and 8281 is 68541837.
LCM(8277,8281) = 68541837
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 8277 and 8281. First we will calculate the prime factors of 8277 and 8281.
Prime Factorization of 8277
3 | 8277 |
31 | 2759 |
89 | 89 |
1 |
Prime factors of 8277 are 3, 31,89. Prime factorization of 8277 in exponential form is:
8277 = 31×311×891
Prime Factorization of 8281
7 | 8281 |
7 | 1183 |
13 | 169 |
13 | 13 |
1 |
Prime factors of 8281 are 7,13. Prime factorization of 8281 in exponential form is:
8281 = 72×132
Now multiplying the highest exponent prime factors to calculate the LCM of 8277 and 8281.
LCM(8277,8281) = 31×72×132×311×891
LCM(8277,8281) = 68541837
Factors of 8277
List of positive integer factors of 8277 that divides 8277 without a remainder.
1, 3, 31, 89, 93, 267, 2759, 8277
Factors of 8281
List of positive integer factors of 8281 that divides 8281 without a remainder.
1, 7, 13, 49, 91, 169, 637, 1183, 8281
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8277 and 8281, than apply into the LCM equation.
GCF(8277,8281) = 1
LCM(8277,8281) = ( 8277 × 8281) / 1
LCM(8277,8281) = 68541837 / 1
LCM(8277,8281) = 68541837
(i) The LCM of 8281 and 8277 is associative
LCM of 8277 and 8281 = LCM of 8281 and 8277
1. What is the LCM of 8277 and 8281?
Answer: LCM of 8277 and 8281 is 68541837.
2. What are the Factors of 8277?
Answer: Factors of 8277 are 1, 3, 31, 89, 93, 267, 2759, 8277. There are 8 integers that are factors of 8277. The greatest factor of 8277 is 8277.
3. What are the Factors of 8281?
Answer: Factors of 8281 are 1, 7, 13, 49, 91, 169, 637, 1183, 8281. There are 9 integers that are factors of 8281. The greatest factor of 8281 is 8281.
4. How to Find the LCM of 8277 and 8281?
Answer:
Least Common Multiple of 8277 and 8281 = 68541837
Step 1: Find the prime factorization of 8277
8277 = 3 x 31 x 89
Step 2: Find the prime factorization of 8281
8281 = 7 x 7 x 13 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 68541837 = 3 x 7 x 7 x 13 x 13 x 31 x 89
Step 4: Therefore, the least common multiple of 8277 and 8281 is 68541837.