Least Common Multiple (LCM) of 164 and 194
The least common multiple (LCM) of 164 and 194 is 15908.
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 164 and 194?
First, calculate the GCD of 164 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 194 = 0 remainder 164 |
| 2 | 194 ÷ 164 = 1 remainder 30 |
| 3 | 164 ÷ 30 = 5 remainder 14 |
| 4 | 30 ÷ 14 = 2 remainder 2 |
| 5 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 76 and 39 | 2964 |
| 15 and 77 | 1155 |
| 36 and 129 | 1548 |
| 132 and 112 | 3696 |
| 105 and 121 | 12705 |