Least Common Multiple (LCM) of 133 and 161
The least common multiple (LCM) of 133 and 161 is 3059.
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 161?
First, calculate the GCD of 133 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 161 = 0 remainder 133 |
| 2 | 161 ÷ 133 = 1 remainder 28 |
| 3 | 133 ÷ 28 = 4 remainder 21 |
| 4 | 28 ÷ 21 = 1 remainder 7 |
| 5 | 21 ÷ 7 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 77 and 141 | 10857 |
| 36 and 33 | 396 |
| 102 and 151 | 15402 |
| 91 and 87 | 7917 |
| 161 and 192 | 30912 |