Least Common Multiple (LCM) of 187 and 160
The least common multiple (LCM) of 187 and 160 is 29920.
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 160?
First, calculate the GCD of 187 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 160 = 1 remainder 27 |
| 2 | 160 ÷ 27 = 5 remainder 25 |
| 3 | 27 ÷ 25 = 1 remainder 2 |
| 4 | 25 ÷ 2 = 12 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 23 and 185 | 4255 |
| 195 and 184 | 35880 |
| 18 and 27 | 54 |
| 189 and 143 | 27027 |
| 93 and 79 | 7347 |