Least Common Multiple (LCM) of 155 and 185
The least common multiple (LCM) of 155 and 185 is 5735.
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 185?
First, calculate the GCD of 155 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 185 = 0 remainder 155 |
| 2 | 185 ÷ 155 = 1 remainder 30 |
| 3 | 155 ÷ 30 = 5 remainder 5 |
| 4 | 30 ÷ 5 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 138 | 8418 |
| 193 and 62 | 11966 |
| 37 and 197 | 7289 |
| 64 and 59 | 3776 |
| 56 and 66 | 1848 |