Least Common Multiple (LCM) of 166 and 34
The least common multiple (LCM) of 166 and 34 is 2822.
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 166 and 34?
First, calculate the GCD of 166 and 34 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 34 = 4 remainder 30 |
| 2 | 34 ÷ 30 = 1 remainder 4 |
| 3 | 30 ÷ 4 = 7 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 139 and 138 | 19182 |
| 128 and 179 | 22912 |
| 32 and 37 | 1184 |
| 47 and 33 | 1551 |
| 117 and 75 | 2925 |