Least Common Multiple (LCM) of 187 and 161
The least common multiple (LCM) of 187 and 161 is 30107.
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 187 and 161?
First, calculate the GCD of 187 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 161 = 1 remainder 26 |
| 2 | 161 ÷ 26 = 6 remainder 5 |
| 3 | 26 ÷ 5 = 5 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 116 | 12180 |
| 180 and 110 | 1980 |
| 196 and 151 | 29596 |
| 34 and 24 | 408 |
| 135 and 62 | 8370 |