Least Common Multiple (LCM) of 74 and 133
The least common multiple (LCM) of 74 and 133 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 74 and 133?
First, calculate the GCD of 74 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 74 ÷ 133 = 0 remainder 74 |
| 2 | 133 ÷ 74 = 1 remainder 59 |
| 3 | 74 ÷ 59 = 1 remainder 15 |
| 4 | 59 ÷ 15 = 3 remainder 14 |
| 5 | 15 ÷ 14 = 1 remainder 1 |
| 6 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 83 | 13861 |
| 88 and 58 | 2552 |
| 60 and 120 | 120 |
| 193 and 196 | 37828 |
| 109 and 82 | 8938 |