Least Common Multiple (LCM) of 114 and 166
The least common multiple (LCM) of 114 and 166 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 114 and 166?
First, calculate the GCD of 114 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 114 ÷ 166 = 0 remainder 114 |
| 2 | 166 ÷ 114 = 1 remainder 52 |
| 3 | 114 ÷ 52 = 2 remainder 10 |
| 4 | 52 ÷ 10 = 5 remainder 2 |
| 5 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 176 | 528 |
| 171 and 13 | 2223 |
| 19 and 47 | 893 |
| 200 and 109 | 21800 |
| 151 and 141 | 21291 |