Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9277 and 9283 the smallest integer that is 86118391 that is divisible by both numbers.
Least Common Multiple (LCM) of 9277 and 9283 is 86118391.
LCM(9277,9283) = 86118391
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 9277 and 9283. First we will calculate the prime factors of 9277 and 9283.
Prime Factorization of 9277
9277 | 9277 |
1 |
Prime factors of 9277 are 9277. Prime factorization of 9277 in exponential form is:
9277 = 92771
Prime Factorization of 9283
9283 | 9283 |
1 |
Prime factors of 9283 are 9283. Prime factorization of 9283 in exponential form is:
9283 = 92831
Now multiplying the highest exponent prime factors to calculate the LCM of 9277 and 9283.
LCM(9277,9283) = 92771×92831
LCM(9277,9283) = 86118391
Factors of 9277
List of positive integer factors of 9277 that divides 9277 without a remainder.
1, 9277
Factors of 9283
List of positive integer factors of 9283 that divides 9283 without a remainder.
1, 9283
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9277 and 9283, than apply into the LCM equation.
GCF(9277,9283) = 1
LCM(9277,9283) = ( 9277 × 9283) / 1
LCM(9277,9283) = 86118391 / 1
LCM(9277,9283) = 86118391
(i) The LCM of 9283 and 9277 is associative
LCM of 9277 and 9283 = LCM of 9283 and 9277
1. What is the LCM of 9277 and 9283?
Answer: LCM of 9277 and 9283 is 86118391.
2. What are the Factors of 9277?
Answer: Factors of 9277 are 1, 9277. There are 2 integers that are factors of 9277. The greatest factor of 9277 is 9277.
3. What are the Factors of 9283?
Answer: Factors of 9283 are 1, 9283. There are 2 integers that are factors of 9283. The greatest factor of 9283 is 9283.
4. How to Find the LCM of 9277 and 9283?
Answer:
Least Common Multiple of 9277 and 9283 = 86118391
Step 1: Find the prime factorization of 9277
9277 = 9277
Step 2: Find the prime factorization of 9283
9283 = 9283
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 86118391 = 9277 x 9283
Step 4: Therefore, the least common multiple of 9277 and 9283 is 86118391.