Least Common Multiple of 151 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 151 and 155 the smallest integer that is 23405 that is divisible by both numbers.
Least Common Multiple (LCM) of 151 and 155 is 23405.
LCM(151,155) = 23405
LCM of 151 and 155
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 151 and 155 by Prime method
- Least Common Multiple of 151 and 155 with GCF Formula
LCM of 151 and 155 is 23405
Least common multiple can be found by multiplying the highest exponent prime factors of 151 and 155. First we will calculate the prime factors of 151 and 155.
Prime Factorization of 151
| 151 | 151 |
| 1 |
Prime factors of 151 are 151. Prime factorization of 151 in exponential form is:
151 = 1511
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 151 and 155.
LCM(151,155) = 51×311×1511
LCM(151,155) = 23405
Factors of 151
List of positive integer factors of 151 that divides 151 without a remainder.
1, 151
Factors of 155
List of positive integer factors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Least Common Multiple of 151 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 151 and 155, than apply into the LCM equation.
GCF(151,155) = 1
LCM(151,155) = ( 151 × 155) / 1
LCM(151,155) = 23405 / 1
LCM(151,155) = 23405
Properties of LCM 151 and 155
(i) The LCM of 155 and 151 is associative
LCM of 151 and 155 = LCM of 155 and 151
Related Least Common Multiples of 151
Related Least Common Multiples of 155
Frequently Asked Questions on LCM of 151 and 155
1. What is the LCM of 151 and 155?
Answer: LCM of 151 and 155 is 23405.
2. What are the Factors of 151?
Answer: Factors of 151 are 1, 151. There are 2 integers that are factors of 151. The greatest factor of 151 is 151.
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 151 and 155?
Answer:
Least Common Multiple of 151 and 155 = 23405
Step 1: Find the prime factorization of 151
151 = 151
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 = 23405 = 5 x 31 x 151
Step 4: Therefore, the least common multiple of 151 and 155 is 23405.