Least Common Multiple (LCM) of 170 and 150
The least common multiple (LCM) of 170 and 150 is 2550.
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 170 and 150?
First, calculate the GCD of 170 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 150 = 1 remainder 20 |
| 2 | 150 ÷ 20 = 7 remainder 10 |
| 3 | 20 ÷ 10 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 143 and 61 | 8723 |
| 177 and 79 | 13983 |
| 84 and 88 | 1848 |
| 106 and 131 | 13886 |
| 26 and 24 | 312 |