Least Common Multiple (LCM) of 68 and 161
The least common multiple (LCM) of 68 and 161 is 10948.
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 161?
First, calculate the GCD of 68 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 68 ÷ 161 = 0 remainder 68 |
| 2 | 161 ÷ 68 = 2 remainder 25 |
| 3 | 68 ÷ 25 = 2 remainder 18 |
| 4 | 25 ÷ 18 = 1 remainder 7 |
| 5 | 18 ÷ 7 = 2 remainder 4 |
| 6 | 7 ÷ 4 = 1 remainder 3 |
| 7 | 4 ÷ 3 = 1 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 191 and 92 | 17572 |
| 188 and 74 | 6956 |
| 109 and 118 | 12862 |
| 41 and 200 | 8200 |
| 179 and 21 | 3759 |