Least Common Multiple of 150 and 153
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 153 the smallest integer that is 7650 that is divisible by both numbers.
Least Common Multiple (LCM) of 150 and 153 is 7650.
LCM(150,153) = 7650
LCM of 150 and 153
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 150 and 153 by Prime method
- Least Common Multiple of 150 and 153 with GCF Formula
LCM of 150 and 153 is 7650
Least common multiple can be found by multiplying the highest exponent prime factors of 150 and 153. First we will calculate the prime factors of 150 and 153.
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 153
| 3 | 153 |
| 3 | 51 |
| 17 | 17 |
| 1 |
Prime factors of 153 are 3,17. Prime factorization of 153 in exponential form is:
153 = 32×171
Now multiplying the highest exponent prime factors to calculate the LCM of 150 and 153.
LCM(150,153) = 21×32×52×171
LCM(150,153) = 7650
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 153
List of positive integer factors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Least Common Multiple of 150 and 153 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 153, than apply into the LCM equation.
GCF(150,153) = 3
LCM(150,153) = ( 150 × 153) / 3
LCM(150,153) = 22950 / 3
LCM(150,153) = 7650
Properties of LCM 150 and 153
(i) The LCM of 153 and 150 is associative
LCM of 150 and 153 = LCM of 153 and 150
Related Least Common Multiples of 150
Related Least Common Multiples of 153
Frequently Asked Questions on LCM of 150 and 153
1. What is the LCM of 150 and 153?
Answer: LCM of 150 and 153 is 7650.
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 153?
Answer: Factors of 153 are 1, 3, 9, 17, 51, 153. There are 6 integers that are factors of 153. The greatest factor of 153 is 153.
4. How to Find the LCM of 150 and 153?
Answer:
Least Common Multiple of 150 and 153 = 7650
Step 1: Find the prime factorization of 150
150 = 2 x 3 x 5 x 5
Step 2: Find the prime factorization of 153
153 = 3 x 3 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7650 = 2 x 3 x 3 x 5 x 5 x 17
Step 4: Therefore, the least common multiple of 150 and 153 is 7650.
