Least Common Multiple of 155 and 159
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 159 the smallest integer that is 24645 that is divisible by both numbers.
Least Common Multiple (LCM) of 155 and 159 is 24645.
LCM(155,159) = 24645
LCM of 155 and 159
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 155 and 159 by Prime method
- Least Common Multiple of 155 and 159 with GCF Formula
LCM of 155 and 159 is 24645
Least common multiple can be found by multiplying the highest exponent prime factors of 155 and 159. First we will calculate the prime factors of 155 and 159.
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 159
| 3 | 159 |
| 53 | 53 |
| 1 |
Prime factors of 159 are 3,53. Prime factorization of 159 in exponential form is:
159 = 31×531
Now multiplying the highest exponent prime factors to calculate the LCM of 155 and 159.
LCM(155,159) = 31×51×311×531
LCM(155,159) = 24645
Factors of 155
List of positive integer factors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Factors of 159
List of positive integer factors of 159 that divides 159 without a remainder.
1, 3, 53, 159
Least Common Multiple of 155 and 159 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 159, than apply into the LCM equation.
GCF(155,159) = 1
LCM(155,159) = ( 155 × 159) / 1
LCM(155,159) = 24645 / 1
LCM(155,159) = 24645
Properties of LCM 155 and 159
(i) The LCM of 159 and 155 is associative
LCM of 155 and 159 = LCM of 159 and 155
Related Least Common Multiples of 155
Related Least Common Multiples of 159
Frequently Asked Questions on LCM of 155 and 159
1. What is the LCM of 155 and 159?
Answer: LCM of 155 and 159 is 24645.
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 159?
Answer: Factors of 159 are 1, 3, 53, 159. There are 4 integers that are factors of 159. The greatest factor of 159 is 159.
4. How to Find the LCM of 155 and 159?
Answer:
Least Common Multiple of 155 and 159 = 24645
Step 1: Find the prime factorization of 155
155 = 5 x 31
Step 2: Find the prime factorization of 159
159 = 3 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 24645 = 3 x 5 x 31 x 53
Step 4: Therefore, the least common multiple of 155 and 159 is 24645.