Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9151 and 9155 the smallest integer that is 83777405 that is divisible by both numbers.
Least Common Multiple (LCM) of 9151 and 9155 is 83777405.
LCM(9151,9155) = 83777405
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 9151 and 9155. First we will calculate the prime factors of 9151 and 9155.
Prime Factorization of 9151
9151 | 9151 |
1 |
Prime factors of 9151 are 9151. Prime factorization of 9151 in exponential form is:
9151 = 91511
Prime Factorization of 9155
5 | 9155 |
1831 | 1831 |
1 |
Prime factors of 9155 are 5,1831. Prime factorization of 9155 in exponential form is:
9155 = 51×18311
Now multiplying the highest exponent prime factors to calculate the LCM of 9151 and 9155.
LCM(9151,9155) = 51×18311×91511
LCM(9151,9155) = 83777405
Factors of 9151
List of positive integer factors of 9151 that divides 9151 without a remainder.
1, 9151
Factors of 9155
List of positive integer factors of 9155 that divides 9155 without a remainder.
1, 5, 1831, 9155
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9151 and 9155, than apply into the LCM equation.
GCF(9151,9155) = 1
LCM(9151,9155) = ( 9151 × 9155) / 1
LCM(9151,9155) = 83777405 / 1
LCM(9151,9155) = 83777405
(i) The LCM of 9155 and 9151 is associative
LCM of 9151 and 9155 = LCM of 9155 and 9151
1. What is the LCM of 9151 and 9155?
Answer: LCM of 9151 and 9155 is 83777405.
2. What are the Factors of 9151?
Answer: Factors of 9151 are 1, 9151. There are 2 integers that are factors of 9151. The greatest factor of 9151 is 9151.
3. What are the Factors of 9155?
Answer: Factors of 9155 are 1, 5, 1831, 9155. There are 4 integers that are factors of 9155. The greatest factor of 9155 is 9155.
4. How to Find the LCM of 9151 and 9155?
Answer:
Least Common Multiple of 9151 and 9155 = 83777405
Step 1: Find the prime factorization of 9151
9151 = 9151
Step 2: Find the prime factorization of 9155
9155 = 5 x 1831
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 83777405 = 5 x 1831 x 9151
Step 4: Therefore, the least common multiple of 9151 and 9155 is 83777405.