Least Common Multiple of 155 and 157
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 157 the smallest integer that is 24335 that is divisible by both numbers.
Least Common Multiple (LCM) of 155 and 157 is 24335.
LCM(155,157) = 24335
LCM of 155 and 157
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 155 and 157 by Prime method
- Least Common Multiple of 155 and 157 with GCF Formula
LCM of 155 and 157 is 24335
Least common multiple can be found by multiplying the highest exponent prime factors of 155 and 157. First we will calculate the prime factors of 155 and 157.
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 157
| 157 | 157 |
| 1 |
Prime factors of 157 are 157. Prime factorization of 157 in exponential form is:
157 = 1571
Now multiplying the highest exponent prime factors to calculate the LCM of 155 and 157.
LCM(155,157) = 51×311×1571
LCM(155,157) = 24335
Factors of 155
List of positive integer factors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Factors of 157
List of positive integer factors of 157 that divides 157 without a remainder.
1, 157
Least Common Multiple of 155 and 157 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 157, than apply into the LCM equation.
GCF(155,157) = 1
LCM(155,157) = ( 155 × 157) / 1
LCM(155,157) = 24335 / 1
LCM(155,157) = 24335
Properties of LCM 155 and 157
(i) The LCM of 157 and 155 is associative
LCM of 155 and 157 = LCM of 157 and 155
Related Least Common Multiples of 155
Related Least Common Multiples of 157
Frequently Asked Questions on LCM of 155 and 157
1. What is the LCM of 155 and 157?
Answer: LCM of 155 and 157 is 24335.
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 157?
Answer: Factors of 157 are 1, 157. There are 2 integers that are factors of 157. The greatest factor of 157 is 157.
4. How to Find the LCM of 155 and 157?
Answer:
Least Common Multiple of 155 and 157 = 24335
Step 1: Find the prime factorization of 155
155 = 5 x 31
Step 2: Find the prime factorization of 157
157 = 157
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 24335 = 5 x 31 x 157
Step 4: Therefore, the least common multiple of 155 and 157 is 24335.
