Least Common Multiple of 7155 and 7162
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 7162 the smallest integer that is 51244110 that is divisible by both numbers.
Least Common Multiple (LCM) of 7155 and 7162 is 51244110.
LCM(7155,7162) = 51244110
LCM of 7155 and 7162
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7155 and 7162 by Prime method
- Least Common Multiple of 7155 and 7162 with GCF Formula
LCM of 7155 and 7162 is 51244110
Least common multiple can be found by multiplying the highest exponent prime factors of 7155 and 7162. First we will calculate the prime factors of 7155 and 7162.
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 7162
| 2 | 7162 |
| 3581 | 3581 |
| 1 |
Prime factors of 7162 are 2,3581. Prime factorization of 7162 in exponential form is:
7162 = 21×35811
Now multiplying the highest exponent prime factors to calculate the LCM of 7155 and 7162.
LCM(7155,7162) = 21×33×51×531×35811
LCM(7155,7162) = 51244110
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 7162
List of positive integer factors of 7162 that divides 7162 without a remainder.
1, 2, 3581, 7162
Least Common Multiple of 7155 and 7162 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7155 and 7162, than apply into the LCM equation.
GCF(7155,7162) = 1
LCM(7155,7162) = ( 7155 × 7162) / 1
LCM(7155,7162) = 51244110 / 1
LCM(7155,7162) = 51244110
Properties of LCM 7155 and 7162
(i) The LCM of 7162 and 7155 is associative
LCM of 7155 and 7162 = LCM of 7162 and 7155
Related Least Common Multiples of 7155
Related Least Common Multiples of 7162
Frequently Asked Questions on LCM of 7155 and 7162
1. What is the LCM of 7155 and 7162?
Answer: LCM of 7155 and 7162 is 51244110.
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 7162?
Answer: Factors of 7162 are 1, 2, 3581, 7162. There are 4 integers that are factors of 7162. The greatest factor of 7162 is 7162.
4. How to Find the LCM of 7155 and 7162?
Answer:
Least Common Multiple of 7155 and 7162 = 51244110
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 7162
7162 = 2 x 3581
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 51244110 = 2 x 3 x 3 x 3 x 5 x 53 x 3581
Step 4: Therefore, the least common multiple of 7155 and 7162 is 51244110.