Least Common Multiple (LCM) of 159 and 106
The least common multiple (LCM) of 159 and 106 is 318.
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 106?
First, calculate the GCD of 159 and 106 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 106 = 1 remainder 53 |
| 2 | 106 ÷ 53 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 153 and 162 | 2754 |
| 164 and 64 | 2624 |
| 35 and 21 | 105 |
| 196 and 107 | 20972 |
| 62 and 151 | 9362 |