Least Common Multiple (LCM) of 161 and 187
The least common multiple (LCM) of 161 and 187 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 161 and 187?
First, calculate the GCD of 161 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 187 = 0 remainder 161 |
| 2 | 187 ÷ 161 = 1 remainder 26 |
| 3 | 161 ÷ 26 = 6 remainder 5 |
| 4 | 26 ÷ 5 = 5 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 120 | 840 |
| 30 and 180 | 180 |
| 135 and 69 | 3105 |
| 84 and 182 | 1092 |
| 77 and 15 | 1155 |