Least Common Multiple (LCM) of 166 and 179
The least common multiple (LCM) of 166 and 179 is 29714.
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 179?
First, calculate the GCD of 166 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 179 = 0 remainder 166 |
| 2 | 179 ÷ 166 = 1 remainder 13 |
| 3 | 166 ÷ 13 = 12 remainder 10 |
| 4 | 13 ÷ 10 = 1 remainder 3 |
| 5 | 10 ÷ 3 = 3 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 87 | 9222 |
| 172 and 38 | 3268 |
| 166 and 12 | 996 |
| 158 and 62 | 4898 |
| 38 and 109 | 4142 |