Least Common Multiple (LCM) of 133 and 73
The least common multiple (LCM) of 133 and 73 is 9709.
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 73?
First, calculate the GCD of 133 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 73 = 1 remainder 60 |
| 2 | 73 ÷ 60 = 1 remainder 13 |
| 3 | 60 ÷ 13 = 4 remainder 8 |
| 4 | 13 ÷ 8 = 1 remainder 5 |
| 5 | 8 ÷ 5 = 1 remainder 3 |
| 6 | 5 ÷ 3 = 1 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 42 | 2856 |
| 42 and 194 | 4074 |
| 32 and 84 | 672 |
| 181 and 190 | 34390 |
| 147 and 139 | 20433 |