Least Common Multiple (LCM) of 166 and 117
The least common multiple (LCM) of 166 and 117 is 19422.
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 117?
First, calculate the GCD of 166 and 117 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 117 = 1 remainder 49 |
| 2 | 117 ÷ 49 = 2 remainder 19 |
| 3 | 49 ÷ 19 = 2 remainder 11 |
| 4 | 19 ÷ 11 = 1 remainder 8 |
| 5 | 11 ÷ 8 = 1 remainder 3 |
| 6 | 8 ÷ 3 = 2 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 167 | 20541 |
| 82 and 121 | 9922 |
| 155 and 197 | 30535 |
| 87 and 20 | 1740 |
| 180 and 88 | 3960 |