Least Common Multiple (LCM) of 171 and 150
The least common multiple (LCM) of 171 and 150 is 8550.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 171 and 150?
First, calculate the GCD of 171 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 150 = 1 remainder 21 |
| 2 | 150 ÷ 21 = 7 remainder 3 |
| 3 | 21 ÷ 3 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 165 | 5775 |
| 79 and 181 | 14299 |
| 121 and 115 | 13915 |
| 110 and 16 | 880 |
| 15 and 198 | 990 |