Least Common Multiple (LCM) of 133 and 74
The least common multiple (LCM) of 133 and 74 is 9842.
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 74?
First, calculate the GCD of 133 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 74 = 1 remainder 59 |
| 2 | 74 ÷ 59 = 1 remainder 15 |
| 3 | 59 ÷ 15 = 3 remainder 14 |
| 4 | 15 ÷ 14 = 1 remainder 1 |
| 5 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 72 and 105 | 2520 |
| 108 and 99 | 1188 |
| 121 and 195 | 23595 |
| 60 and 138 | 1380 |
| 183 and 19 | 3477 |