Least Common Multiple (LCM) of 118 and 166
The least common multiple (LCM) of 118 and 166 is 9794.
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 118 and 166?
First, calculate the GCD of 118 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 166 = 0 remainder 118 |
| 2 | 166 ÷ 118 = 1 remainder 48 |
| 3 | 118 ÷ 48 = 2 remainder 22 |
| 4 | 48 ÷ 22 = 2 remainder 4 |
| 5 | 22 ÷ 4 = 5 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 150 | 4050 |
| 120 and 116 | 3480 |
| 111 and 20 | 2220 |
| 96 and 60 | 480 |
| 157 and 22 | 3454 |