Least Common Multiple (LCM) of 155 and 194
The least common multiple (LCM) of 155 and 194 is 30070.
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 155 and 194?
First, calculate the GCD of 155 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 194 = 0 remainder 155 |
| 2 | 194 ÷ 155 = 1 remainder 39 |
| 3 | 155 ÷ 39 = 3 remainder 38 |
| 4 | 39 ÷ 38 = 1 remainder 1 |
| 5 | 38 ÷ 1 = 38 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 130 | 10920 |
| 106 and 138 | 7314 |
| 98 and 69 | 6762 |
| 138 and 124 | 8556 |
| 144 and 146 | 10512 |