Least Common Multiple (LCM) of 159 and 187
The least common multiple (LCM) of 159 and 187 is 29733.
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 159 and 187?
First, calculate the GCD of 159 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 187 = 0 remainder 159 |
| 2 | 187 ÷ 159 = 1 remainder 28 |
| 3 | 159 ÷ 28 = 5 remainder 19 |
| 4 | 28 ÷ 19 = 1 remainder 9 |
| 5 | 19 ÷ 9 = 2 remainder 1 |
| 6 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 143 | 1430 |
| 170 and 139 | 23630 |
| 38 and 117 | 4446 |
| 110 and 100 | 1100 |
| 198 and 169 | 33462 |