Least Common Multiple of 150 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 150 and 157 the smallest integer that is 23550 that is divisible by both numbers.
Least Common Multiple (LCM) of 150 and 157 is 23550.
LCM(150,157) = 23550
LCM of 150 and 157
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 150 and 157 by Prime method
- Least Common Multiple of 150 and 157 with GCF Formula
LCM of 150 and 157 is 23550
Least common multiple can be found by multiplying the highest exponent prime factors of 150 and 157. First we will calculate the prime factors of 150 and 157.
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 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 150 and 157.
LCM(150,157) = 21×31×52×1571
LCM(150,157) = 23550
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 157
List of positive integer factors of 157 that divides 157 without a remainder.
1, 157
Least Common Multiple of 150 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 150 and 157, than apply into the LCM equation.
GCF(150,157) = 1
LCM(150,157) = ( 150 × 157) / 1
LCM(150,157) = 23550 / 1
LCM(150,157) = 23550
Properties of LCM 150 and 157
(i) The LCM of 157 and 150 is associative
LCM of 150 and 157 = LCM of 157 and 150
Related Least Common Multiples of 150
Related Least Common Multiples of 157
Frequently Asked Questions on LCM of 150 and 157
1. What is the LCM of 150 and 157?
Answer: LCM of 150 and 157 is 23550.
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 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 150 and 157?
Answer:
Least Common Multiple of 150 and 157 = 23550
Step 1: Find the prime factorization of 150
150 = 2 x 3 x 5 x 5
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 = 23550 = 2 x 3 x 5 x 5 x 157
Step 4: Therefore, the least common multiple of 150 and 157 is 23550.
