Least Common Multiple (LCM) of 159 and 63
The least common multiple (LCM) of 159 and 63 is 3339.
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 63?
First, calculate the GCD of 159 and 63 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 63 = 2 remainder 33 |
| 2 | 63 ÷ 33 = 1 remainder 30 |
| 3 | 33 ÷ 30 = 1 remainder 3 |
| 4 | 30 ÷ 3 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 20 | 380 |
| 46 and 177 | 8142 |
| 166 and 73 | 12118 |
| 101 and 47 | 4747 |
| 101 and 122 | 12322 |