Least Common Multiple of 157 and 162
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 157 and 162 the smallest integer that is 25434 that is divisible by both numbers.
Least Common Multiple (LCM) of 157 and 162 is 25434.
LCM(157,162) = 25434
LCM of 157 and 162
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 157 and 162 by Prime method
- Least Common Multiple of 157 and 162 with GCF Formula
LCM of 157 and 162 is 25434
Least common multiple can be found by multiplying the highest exponent prime factors of 157 and 162. First we will calculate the prime factors of 157 and 162.
Prime Factorization of 157
| 157 | 157 |
| 1 |
Prime factors of 157 are 157. Prime factorization of 157 in exponential form is:
157 = 1571
Prime Factorization of 162
| 2 | 162 |
| 3 | 81 |
| 3 | 27 |
| 3 | 9 |
| 3 | 3 |
| 1 |
Prime factors of 162 are 2,3. Prime factorization of 162 in exponential form is:
162 = 21×34
Now multiplying the highest exponent prime factors to calculate the LCM of 157 and 162.
LCM(157,162) = 21×34×1571
LCM(157,162) = 25434
Factors of 157
List of positive integer factors of 157 that divides 157 without a remainder.
1, 157
Factors of 162
List of positive integer factors of 162 that divides 162 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Least Common Multiple of 157 and 162 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 157 and 162, than apply into the LCM equation.
GCF(157,162) = 1
LCM(157,162) = ( 157 × 162) / 1
LCM(157,162) = 25434 / 1
LCM(157,162) = 25434
Properties of LCM 157 and 162
(i) The LCM of 162 and 157 is associative
LCM of 157 and 162 = LCM of 162 and 157
Related Least Common Multiples of 157
Related Least Common Multiples of 162
Frequently Asked Questions on LCM of 157 and 162
1. What is the LCM of 157 and 162?
Answer: LCM of 157 and 162 is 25434.
2. What are the Factors of 157?
Answer: Factors of 157 are 1, 157. There are 2 integers that are factors of 157. The greatest factor of 157 is 157.
3. What are the Factors of 162?
Answer: Factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162. There are 10 integers that are factors of 162. The greatest factor of 162 is 162.
4. How to Find the LCM of 157 and 162?
Answer:
Least Common Multiple of 157 and 162 = 25434
Step 1: Find the prime factorization of 157
157 = 157
Step 2: Find the prime factorization of 162
162 = 2 x 3 x 3 x 3 x 3
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 25434 = 2 x 3 x 3 x 3 x 3 x 157
Step 4: Therefore, the least common multiple of 157 and 162 is 25434.