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 |
|---|---|
| 196 and 102 | 9996 |
| 30 and 24 | 120 |
| 143 and 62 | 8866 |
| 68 and 40 | 680 |
| 109 and 154 | 16786 |