Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8269 and 8277 the smallest integer that is 68442513 that is divisible by both numbers.
Least Common Multiple (LCM) of 8269 and 8277 is 68442513.
LCM(8269,8277) = 68442513
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 8269 and 8277. First we will calculate the prime factors of 8269 and 8277.
Prime Factorization of 8269
8269 | 8269 |
1 |
Prime factors of 8269 are 8269. Prime factorization of 8269 in exponential form is:
8269 = 82691
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8269 and 8277.
LCM(8269,8277) = 31×311×891×82691
LCM(8269,8277) = 68442513
Factors of 8269
List of positive integer factors of 8269 that divides 8269 without a remainder.
1, 8269
Factors of 8277
List of positive integer factors of 8277 that divides 8277 without a remainder.
1, 3, 31, 89, 93, 267, 2759, 8277
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8269 and 8277, than apply into the LCM equation.
GCF(8269,8277) = 1
LCM(8269,8277) = ( 8269 × 8277) / 1
LCM(8269,8277) = 68442513 / 1
LCM(8269,8277) = 68442513
(i) The LCM of 8277 and 8269 is associative
LCM of 8269 and 8277 = LCM of 8277 and 8269
1. What is the LCM of 8269 and 8277?
Answer: LCM of 8269 and 8277 is 68442513.
2. What are the Factors of 8269?
Answer: Factors of 8269 are 1, 8269. There are 2 integers that are factors of 8269. The greatest factor of 8269 is 8269.
3. 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.
4. How to Find the LCM of 8269 and 8277?
Answer:
Least Common Multiple of 8269 and 8277 = 68442513
Step 1: Find the prime factorization of 8269
8269 = 8269
Step 2: Find the prime factorization of 8277
8277 = 3 x 31 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 68442513 = 3 x 31 x 89 x 8269
Step 4: Therefore, the least common multiple of 8269 and 8277 is 68442513.