Least Common Multiple (LCM) of 133 and 59
The least common multiple (LCM) of 133 and 59 is 7847.
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 59?
First, calculate the GCD of 133 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 59 = 2 remainder 15 |
| 2 | 59 ÷ 15 = 3 remainder 14 |
| 3 | 15 ÷ 14 = 1 remainder 1 |
| 4 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 144 | 144 |
| 49 and 109 | 5341 |
| 104 and 166 | 8632 |
| 16 and 52 | 208 |
| 157 and 161 | 25277 |