Least Common Multiple (LCM) of 68 and 168
The least common multiple (LCM) of 68 and 168 is 2856.
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 68 and 168?
First, calculate the GCD of 68 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 68 ÷ 168 = 0 remainder 68 |
| 2 | 168 ÷ 68 = 2 remainder 32 |
| 3 | 68 ÷ 32 = 2 remainder 4 |
| 4 | 32 ÷ 4 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 97 | 11446 |
| 41 and 138 | 5658 |
| 140 and 159 | 22260 |
| 181 and 22 | 3982 |
| 65 and 108 | 7020 |