Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9281 and 9285 the smallest integer that is 86174085 that is divisible by both numbers.
Least Common Multiple (LCM) of 9281 and 9285 is 86174085.
LCM(9281,9285) = 86174085
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 9281 and 9285. First we will calculate the prime factors of 9281 and 9285.
Prime Factorization of 9281
9281 | 9281 |
1 |
Prime factors of 9281 are 9281. Prime factorization of 9281 in exponential form is:
9281 = 92811
Prime Factorization of 9285
3 | 9285 |
5 | 3095 |
619 | 619 |
1 |
Prime factors of 9285 are 3, 5,619. Prime factorization of 9285 in exponential form is:
9285 = 31×51×6191
Now multiplying the highest exponent prime factors to calculate the LCM of 9281 and 9285.
LCM(9281,9285) = 31×51×6191×92811
LCM(9281,9285) = 86174085
Factors of 9281
List of positive integer factors of 9281 that divides 9281 without a remainder.
1, 9281
Factors of 9285
List of positive integer factors of 9285 that divides 9285 without a remainder.
1, 3, 5, 15, 619, 1857, 3095, 9285
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9281 and 9285, than apply into the LCM equation.
GCF(9281,9285) = 1
LCM(9281,9285) = ( 9281 × 9285) / 1
LCM(9281,9285) = 86174085 / 1
LCM(9281,9285) = 86174085
(i) The LCM of 9285 and 9281 is associative
LCM of 9281 and 9285 = LCM of 9285 and 9281
1. What is the LCM of 9281 and 9285?
Answer: LCM of 9281 and 9285 is 86174085.
2. What are the Factors of 9281?
Answer: Factors of 9281 are 1, 9281. There are 2 integers that are factors of 9281. The greatest factor of 9281 is 9281.
3. What are the Factors of 9285?
Answer: Factors of 9285 are 1, 3, 5, 15, 619, 1857, 3095, 9285. There are 8 integers that are factors of 9285. The greatest factor of 9285 is 9285.
4. How to Find the LCM of 9281 and 9285?
Answer:
Least Common Multiple of 9281 and 9285 = 86174085
Step 1: Find the prime factorization of 9281
9281 = 9281
Step 2: Find the prime factorization of 9285
9285 = 3 x 5 x 619
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 86174085 = 3 x 5 x 619 x 9281
Step 4: Therefore, the least common multiple of 9281 and 9285 is 86174085.