Least Common Multiple of 153 and 155
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 153 and 155 the smallest integer that is 23715 that is divisible by both numbers.
Least Common Multiple (LCM) of 153 and 155 is 23715.
LCM(153,155) = 23715
LCM of 153 and 155
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 153 and 155 by Prime method
- Least Common Multiple of 153 and 155 with GCF Formula
LCM of 153 and 155 is 23715
Least common multiple can be found by multiplying the highest exponent prime factors of 153 and 155. First we will calculate the prime factors of 153 and 155.
Prime Factorization of 153
| 3 | 153 |
| 3 | 51 |
| 17 | 17 |
| 1 |
Prime factors of 153 are 3,17. Prime factorization of 153 in exponential form is:
153 = 32×171
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
Now multiplying the highest exponent prime factors to calculate the LCM of 153 and 155.
LCM(153,155) = 32×51×171×311
LCM(153,155) = 23715
Factors of 153
List of positive integer factors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Factors of 155
List of positive integer factors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Least Common Multiple of 153 and 155 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 153 and 155, than apply into the LCM equation.
GCF(153,155) = 1
LCM(153,155) = ( 153 × 155) / 1
LCM(153,155) = 23715 / 1
LCM(153,155) = 23715
Properties of LCM 153 and 155
(i) The LCM of 155 and 153 is associative
LCM of 153 and 155 = LCM of 155 and 153
Related Least Common Multiples of 153
Related Least Common Multiples of 155
Frequently Asked Questions on LCM of 153 and 155
1. What is the LCM of 153 and 155?
Answer: LCM of 153 and 155 is 23715.
2. What are the Factors of 153?
Answer: Factors of 153 are 1, 3, 9, 17, 51, 153. There are 6 integers that are factors of 153. The greatest factor of 153 is 153.
3. 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.
4. How to Find the LCM of 153 and 155?
Answer:
Least Common Multiple of 153 and 155 = 23715
Step 1: Find the prime factorization of 153
153 = 3 x 3 x 17
Step 2: Find the prime factorization of 155
155 = 5 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23715 = 3 x 3 x 5 x 17 x 31
Step 4: Therefore, the least common multiple of 153 and 155 is 23715.