Least Common Multiple (LCM) of 165 and 158
The least common multiple (LCM) of 165 and 158 is 26070.
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 165 and 158?
First, calculate the GCD of 165 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 158 = 1 remainder 7 |
| 2 | 158 ÷ 7 = 22 remainder 4 |
| 3 | 7 ÷ 4 = 1 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 71 and 20 | 1420 |
| 173 and 121 | 20933 |
| 96 and 32 | 96 |
| 174 and 133 | 23142 |
| 154 and 149 | 22946 |