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 |
|---|---|
| 110 and 92 | 5060 |
| 122 and 94 | 5734 |
| 158 and 153 | 24174 |
| 16 and 78 | 624 |
| 143 and 142 | 20306 |