Least Common Multiple of 154 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 154 and 155 the smallest integer that is 23870 that is divisible by both numbers.
Least Common Multiple (LCM) of 154 and 155 is 23870.
LCM(154,155) = 23870
LCM of 154 and 155
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 154 and 155 by Prime method
- Least Common Multiple of 154 and 155 with GCF Formula
LCM of 154 and 155 is 23870
Least common multiple can be found by multiplying the highest exponent prime factors of 154 and 155. First we will calculate the prime factors of 154 and 155.
Prime Factorization of 154
| 2 | 154 |
| 7 | 77 |
| 11 | 11 |
| 1 |
Prime factors of 154 are 2, 7,11. Prime factorization of 154 in exponential form is:
154 = 21×71×111
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 154 and 155.
LCM(154,155) = 21×51×71×111×311
LCM(154,155) = 23870
Factors of 154
List of positive integer factors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Factors of 155
List of positive integer factors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Least Common Multiple of 154 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 154 and 155, than apply into the LCM equation.
GCF(154,155) = 1
LCM(154,155) = ( 154 × 155) / 1
LCM(154,155) = 23870 / 1
LCM(154,155) = 23870
Properties of LCM 154 and 155
(i) The LCM of 155 and 154 is associative
LCM of 154 and 155 = LCM of 155 and 154
Related Least Common Multiples of 154
Related Least Common Multiples of 155
Frequently Asked Questions on LCM of 154 and 155
1. What is the LCM of 154 and 155?
Answer: LCM of 154 and 155 is 23870.
2. What are the Factors of 154?
Answer: Factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154. There are 8 integers that are factors of 154. The greatest factor of 154 is 154.
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 154 and 155?
Answer:
Least Common Multiple of 154 and 155 = 23870
Step 1: Find the prime factorization of 154
154 = 2 x 7 x 11
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 = 23870 = 2 x 5 x 7 x 11 x 31
Step 4: Therefore, the least common multiple of 154 and 155 is 23870.