Least Common Multiple (LCM) of 188 and 159
The least common multiple (LCM) of 188 and 159 is 29892.
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 188 and 159?
First, calculate the GCD of 188 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 159 = 1 remainder 29 |
| 2 | 159 ÷ 29 = 5 remainder 14 |
| 3 | 29 ÷ 14 = 2 remainder 1 |
| 4 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 14 | 1806 |
| 195 and 13 | 195 |
| 49 and 156 | 7644 |
| 182 and 181 | 32942 |
| 163 and 113 | 18419 |