Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7155 and 7160 the smallest integer that is 10245960 that is divisible by both numbers.
Least Common Multiple (LCM) of 7155 and 7160 is 10245960.
LCM(7155,7160) = 10245960
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 7155 and 7160. First we will calculate the prime factors of 7155 and 7160.
Prime Factorization of 7155
3 | 7155 |
3 | 2385 |
3 | 795 |
5 | 265 |
53 | 53 |
1 |
Prime factors of 7155 are 3, 5,53. Prime factorization of 7155 in exponential form is:
7155 = 33×51×531
Prime Factorization of 7160
2 | 7160 |
2 | 3580 |
2 | 1790 |
5 | 895 |
179 | 179 |
1 |
Prime factors of 7160 are 2, 5,179. Prime factorization of 7160 in exponential form is:
7160 = 23×51×1791
Now multiplying the highest exponent prime factors to calculate the LCM of 7155 and 7160.
LCM(7155,7160) = 23×33×51×531×1791
LCM(7155,7160) = 10245960
Factors of 7155
List of positive integer factors of 7155 that divides 7155 without a remainder.
1, 3, 5, 9, 15, 27, 45, 53, 135, 159, 265, 477, 795, 1431, 2385, 7155
Factors of 7160
List of positive integer factors of 7160 that divides 7160 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40, 179, 358, 716, 895, 1432, 1790, 3580, 7160
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7155 and 7160, than apply into the LCM equation.
GCF(7155,7160) = 5
LCM(7155,7160) = ( 7155 × 7160) / 5
LCM(7155,7160) = 51229800 / 5
LCM(7155,7160) = 10245960
(i) The LCM of 7160 and 7155 is associative
LCM of 7155 and 7160 = LCM of 7160 and 7155
1. What is the LCM of 7155 and 7160?
Answer: LCM of 7155 and 7160 is 10245960.
2. What are the Factors of 7155?
Answer: Factors of 7155 are 1, 3, 5, 9, 15, 27, 45, 53, 135, 159, 265, 477, 795, 1431, 2385, 7155. There are 16 integers that are factors of 7155. The greatest factor of 7155 is 7155.
3. What are the Factors of 7160?
Answer: Factors of 7160 are 1, 2, 4, 5, 8, 10, 20, 40, 179, 358, 716, 895, 1432, 1790, 3580, 7160. There are 16 integers that are factors of 7160. The greatest factor of 7160 is 7160.
4. How to Find the LCM of 7155 and 7160?
Answer:
Least Common Multiple of 7155 and 7160 = 10245960
Step 1: Find the prime factorization of 7155
7155 = 3 x 3 x 3 x 5 x 53
Step 2: Find the prime factorization of 7160
7160 = 2 x 2 x 2 x 5 x 179
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10245960 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 53 x 179
Step 4: Therefore, the least common multiple of 7155 and 7160 is 10245960.