Least Common Multiple of 155 and 161
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 155 and 161 the smallest integer that is 24955 that is divisible by both numbers.
Least Common Multiple (LCM) of 155 and 161 is 24955.
LCM(155,161) = 24955
LCM of 155 and 161
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 155 and 161 by Prime method
- Least Common Multiple of 155 and 161 with GCF Formula
LCM of 155 and 161 is 24955
Least common multiple can be found by multiplying the highest exponent prime factors of 155 and 161. First we will calculate the prime factors of 155 and 161.
Prime Factorization of 155
| 5 | 155 |
| 31 | 31 |
| 1 |
Prime factors of 155 are 5,31. Prime factorization of 155 in exponential form is:
155 = 51×311
Prime Factorization of 161
| 7 | 161 |
| 23 | 23 |
| 1 |
Prime factors of 161 are 7,23. Prime factorization of 161 in exponential form is:
161 = 71×231
Now multiplying the highest exponent prime factors to calculate the LCM of 155 and 161.
LCM(155,161) = 51×71×231×311
LCM(155,161) = 24955
Factors of 155
List of positive integer factors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Factors of 161
List of positive integer factors of 161 that divides 161 without a remainder.
1, 7, 23, 161
Least Common Multiple of 155 and 161 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 155 and 161, than apply into the LCM equation.
GCF(155,161) = 1
LCM(155,161) = ( 155 × 161) / 1
LCM(155,161) = 24955 / 1
LCM(155,161) = 24955
Properties of LCM 155 and 161
(i) The LCM of 161 and 155 is associative
LCM of 155 and 161 = LCM of 161 and 155
Related Least Common Multiples of 155
Related Least Common Multiples of 161
Frequently Asked Questions on LCM of 155 and 161
1. What is the LCM of 155 and 161?
Answer: LCM of 155 and 161 is 24955.
2. What are the Factors of 155?
Answer: Factors of 155 are 1, 5, 31, 155. There are 4 integers that are factors of 155. The greatest factor of 155 is 155.
3. What are the Factors of 161?
Answer: Factors of 161 are 1, 7, 23, 161. There are 4 integers that are factors of 161. The greatest factor of 161 is 161.
4. How to Find the LCM of 155 and 161?
Answer:
Least Common Multiple of 155 and 161 = 24955
Step 1: Find the prime factorization of 155
155 = 5 x 31
Step 2: Find the prime factorization of 161
161 = 7 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 24955 = 5 x 7 x 23 x 31
Step 4: Therefore, the least common multiple of 155 and 161 is 24955.
