Least Common Multiple (LCM) of 194 and 68
The least common multiple (LCM) of 194 and 68 is 6596.
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 194 and 68?
First, calculate the GCD of 194 and 68 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 68 = 2 remainder 58 |
| 2 | 68 ÷ 58 = 1 remainder 10 |
| 3 | 58 ÷ 10 = 5 remainder 8 |
| 4 | 10 ÷ 8 = 1 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 180 | 9540 |
| 112 and 141 | 15792 |
| 97 and 139 | 13483 |
| 152 and 69 | 10488 |
| 93 and 160 | 14880 |