Least Common Multiple (LCM) of 133 and 88
The least common multiple (LCM) of 133 and 88 is 11704.
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 88?
First, calculate the GCD of 133 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 88 = 1 remainder 45 |
| 2 | 88 ÷ 45 = 1 remainder 43 |
| 3 | 45 ÷ 43 = 1 remainder 2 |
| 4 | 43 ÷ 2 = 21 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 182 and 144 | 13104 |
| 159 and 13 | 2067 |
| 45 and 17 | 765 |
| 60 and 157 | 9420 |
| 173 and 173 | 173 |