Least Common Multiple (LCM) of 133 and 159
The least common multiple (LCM) of 133 and 159 is 21147.
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 133 and 159?
First, calculate the GCD of 133 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 159 = 0 remainder 133 |
| 2 | 159 ÷ 133 = 1 remainder 26 |
| 3 | 133 ÷ 26 = 5 remainder 3 |
| 4 | 26 ÷ 3 = 8 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 140 | 6160 |
| 168 and 167 | 28056 |
| 77 and 134 | 10318 |
| 35 and 104 | 3640 |
| 114 and 188 | 10716 |