Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9051 and 9055 the smallest integer that is 81956805 that is divisible by both numbers.
Least Common Multiple (LCM) of 9051 and 9055 is 81956805.
LCM(9051,9055) = 81956805
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 9051 and 9055. First we will calculate the prime factors of 9051 and 9055.
Prime Factorization of 9051
3 | 9051 |
7 | 3017 |
431 | 431 |
1 |
Prime factors of 9051 are 3, 7,431. Prime factorization of 9051 in exponential form is:
9051 = 31×71×4311
Prime Factorization of 9055
5 | 9055 |
1811 | 1811 |
1 |
Prime factors of 9055 are 5,1811. Prime factorization of 9055 in exponential form is:
9055 = 51×18111
Now multiplying the highest exponent prime factors to calculate the LCM of 9051 and 9055.
LCM(9051,9055) = 31×51×71×4311×18111
LCM(9051,9055) = 81956805
Factors of 9051
List of positive integer factors of 9051 that divides 9051 without a remainder.
1, 3, 7, 21, 431, 1293, 3017, 9051
Factors of 9055
List of positive integer factors of 9055 that divides 9055 without a remainder.
1, 5, 1811, 9055
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9051 and 9055, than apply into the LCM equation.
GCF(9051,9055) = 1
LCM(9051,9055) = ( 9051 × 9055) / 1
LCM(9051,9055) = 81956805 / 1
LCM(9051,9055) = 81956805
(i) The LCM of 9055 and 9051 is associative
LCM of 9051 and 9055 = LCM of 9055 and 9051
1. What is the LCM of 9051 and 9055?
Answer: LCM of 9051 and 9055 is 81956805.
2. What are the Factors of 9051?
Answer: Factors of 9051 are 1, 3, 7, 21, 431, 1293, 3017, 9051. There are 8 integers that are factors of 9051. The greatest factor of 9051 is 9051.
3. What are the Factors of 9055?
Answer: Factors of 9055 are 1, 5, 1811, 9055. There are 4 integers that are factors of 9055. The greatest factor of 9055 is 9055.
4. How to Find the LCM of 9051 and 9055?
Answer:
Least Common Multiple of 9051 and 9055 = 81956805
Step 1: Find the prime factorization of 9051
9051 = 3 x 7 x 431
Step 2: Find the prime factorization of 9055
9055 = 5 x 1811
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 81956805 = 3 x 5 x 7 x 431 x 1811
Step 4: Therefore, the least common multiple of 9051 and 9055 is 81956805.