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 |
|---|---|
| 81 and 113 | 9153 |
| 165 and 120 | 1320 |
| 69 and 125 | 8625 |
| 78 and 167 | 13026 |
| 124 and 88 | 2728 |