Least Common Multiple (LCM) of 168 and 118
The least common multiple (LCM) of 168 and 118 is 9912.
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 168 and 118?
First, calculate the GCD of 168 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 118 = 1 remainder 50 |
| 2 | 118 ÷ 50 = 2 remainder 18 |
| 3 | 50 ÷ 18 = 2 remainder 14 |
| 4 | 18 ÷ 14 = 1 remainder 4 |
| 5 | 14 ÷ 4 = 3 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 83 and 74 | 6142 |
| 194 and 69 | 13386 |
| 172 and 165 | 28380 |
| 11 and 178 | 1958 |
| 125 and 146 | 18250 |