Least Common Multiple (LCM) of 166 and 114
The least common multiple (LCM) of 166 and 114 is 9462.
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 114?
First, calculate the GCD of 166 and 114 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 114 = 1 remainder 52 |
| 2 | 114 ÷ 52 = 2 remainder 10 |
| 3 | 52 ÷ 10 = 5 remainder 2 |
| 4 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 68 and 196 | 3332 |
| 40 and 28 | 280 |
| 113 and 14 | 1582 |
| 169 and 30 | 5070 |
| 81 and 183 | 4941 |