Least Common Multiple (LCM) of 133 and 79
The least common multiple (LCM) of 133 and 79 is 10507.
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 79?
First, calculate the GCD of 133 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 79 = 1 remainder 54 |
| 2 | 79 ÷ 54 = 1 remainder 25 |
| 3 | 54 ÷ 25 = 2 remainder 4 |
| 4 | 25 ÷ 4 = 6 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 117 | 117 |
| 190 and 98 | 9310 |
| 17 and 101 | 1717 |
| 11 and 15 | 165 |
| 66 and 165 | 330 |