Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9271 and 9276 the smallest integer that is 85997796 that is divisible by both numbers.
Least Common Multiple (LCM) of 9271 and 9276 is 85997796.
LCM(9271,9276) = 85997796
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 9271 and 9276. First we will calculate the prime factors of 9271 and 9276.
Prime Factorization of 9271
73 | 9271 |
127 | 127 |
1 |
Prime factors of 9271 are 73,127. Prime factorization of 9271 in exponential form is:
9271 = 731×1271
Prime Factorization of 9276
2 | 9276 |
2 | 4638 |
3 | 2319 |
773 | 773 |
1 |
Prime factors of 9276 are 2, 3,773. Prime factorization of 9276 in exponential form is:
9276 = 22×31×7731
Now multiplying the highest exponent prime factors to calculate the LCM of 9271 and 9276.
LCM(9271,9276) = 22×31×731×1271×7731
LCM(9271,9276) = 85997796
Factors of 9271
List of positive integer factors of 9271 that divides 9271 without a remainder.
1, 73, 127, 9271
Factors of 9276
List of positive integer factors of 9276 that divides 9276 without a remainder.
1, 2, 3, 4, 6, 12, 773, 1546, 2319, 3092, 4638, 9276
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9271 and 9276, than apply into the LCM equation.
GCF(9271,9276) = 1
LCM(9271,9276) = ( 9271 × 9276) / 1
LCM(9271,9276) = 85997796 / 1
LCM(9271,9276) = 85997796
(i) The LCM of 9276 and 9271 is associative
LCM of 9271 and 9276 = LCM of 9276 and 9271
1. What is the LCM of 9271 and 9276?
Answer: LCM of 9271 and 9276 is 85997796.
2. What are the Factors of 9271?
Answer: Factors of 9271 are 1, 73, 127, 9271. There are 4 integers that are factors of 9271. The greatest factor of 9271 is 9271.
3. What are the Factors of 9276?
Answer: Factors of 9276 are 1, 2, 3, 4, 6, 12, 773, 1546, 2319, 3092, 4638, 9276. There are 12 integers that are factors of 9276. The greatest factor of 9276 is 9276.
4. How to Find the LCM of 9271 and 9276?
Answer:
Least Common Multiple of 9271 and 9276 = 85997796
Step 1: Find the prime factorization of 9271
9271 = 73 x 127
Step 2: Find the prime factorization of 9276
9276 = 2 x 2 x 3 x 773
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 85997796 = 2 x 2 x 3 x 73 x 127 x 773
Step 4: Therefore, the least common multiple of 9271 and 9276 is 85997796.