Least Common Multiple of 150 and 151
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 151 the smallest integer that is 22650 that is divisible by both numbers.
Least Common Multiple (LCM) of 150 and 151 is 22650.
LCM(150,151) = 22650
LCM of 150 and 151
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 150 and 151 by Prime method
- Least Common Multiple of 150 and 151 with GCF Formula
LCM of 150 and 151 is 22650
Least common multiple can be found by multiplying the highest exponent prime factors of 150 and 151. First we will calculate the prime factors of 150 and 151.
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 151
| 151 | 151 |
| 1 |
Prime factors of 151 are 151. Prime factorization of 151 in exponential form is:
151 = 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 150 and 151.
LCM(150,151) = 21×31×52×1511
LCM(150,151) = 22650
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 151
List of positive integer factors of 151 that divides 151 without a remainder.
1, 151
Least Common Multiple of 150 and 151 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 151, than apply into the LCM equation.
GCF(150,151) = 1
LCM(150,151) = ( 150 × 151) / 1
LCM(150,151) = 22650 / 1
LCM(150,151) = 22650
Properties of LCM 150 and 151
(i) The LCM of 151 and 150 is associative
LCM of 150 and 151 = LCM of 151 and 150
Related Least Common Multiples of 150
Related Least Common Multiples of 151
Frequently Asked Questions on LCM of 150 and 151
1. What is the LCM of 150 and 151?
Answer: LCM of 150 and 151 is 22650.
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 151?
Answer: Factors of 151 are 1, 151. There are 2 integers that are factors of 151. The greatest factor of 151 is 151.
4. How to Find the LCM of 150 and 151?
Answer:
Least Common Multiple of 150 and 151 = 22650
Step 1: Find the prime factorization of 150
150 = 2 x 3 x 5 x 5
Step 2: Find the prime factorization of 151
151 = 151
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22650 = 2 x 3 x 5 x 5 x 151
Step 4: Therefore, the least common multiple of 150 and 151 is 22650.
