Least Common Multiple (LCM) of 155 and 195
The least common multiple (LCM) of 155 and 195 is 6045.
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 195?
First, calculate the GCD of 155 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 195 = 0 remainder 155 |
| 2 | 195 ÷ 155 = 1 remainder 40 |
| 3 | 155 ÷ 40 = 3 remainder 35 |
| 4 | 40 ÷ 35 = 1 remainder 5 |
| 5 | 35 ÷ 5 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 48 and 90 | 720 |
| 153 and 189 | 3213 |
| 68 and 190 | 6460 |
| 19 and 191 | 3629 |
| 56 and 175 | 1400 |