Least Common Multiple of 150 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 150 and 155 the smallest integer that is 4650 that is divisible by both numbers.
Least Common Multiple (LCM) of 150 and 155 is 4650.
LCM(150,155) = 4650
LCM of 150 and 155
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 150 and 155 by Prime method
- Least Common Multiple of 150 and 155 with GCF Formula
LCM of 150 and 155 is 4650
Least common multiple can be found by multiplying the highest exponent prime factors of 150 and 155. First we will calculate the prime factors of 150 and 155.
Prime Factorization of 150
| 2 | 150 |
| 3 | 75 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factors of 150 are 2, 3,5. Prime factorization of 150 in exponential form is:
150 = 21×31×52
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 150 and 155.
LCM(150,155) = 21×31×52×311
LCM(150,155) = 4650
Factors of 150
List of positive integer factors of 150 that divides 150 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Factors of 155
List of positive integer factors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Least Common Multiple of 150 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 150 and 155, than apply into the LCM equation.
GCF(150,155) = 5
LCM(150,155) = ( 150 × 155) / 5
LCM(150,155) = 23250 / 5
LCM(150,155) = 4650
Properties of LCM 150 and 155
(i) The LCM of 155 and 150 is associative
LCM of 150 and 155 = LCM of 155 and 150
Related Least Common Multiples of 150
Related Least Common Multiples of 155
Frequently Asked Questions on LCM of 150 and 155
1. What is the LCM of 150 and 155?
Answer: LCM of 150 and 155 is 4650.
2. What are the Factors of 150?
Answer: Factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150. There are 12 integers that are factors of 150. The greatest factor of 150 is 150.
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 150 and 155?
Answer:
Least Common Multiple of 150 and 155 = 4650
Step 1: Find the prime factorization of 150
150 = 2 x 3 x 5 x 5
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 = 4650 = 2 x 3 x 5 x 5 x 31
Step 4: Therefore, the least common multiple of 150 and 155 is 4650.
