Least Common Multiple (LCM) of 181 and 74
The least common multiple (LCM) of 181 and 74 is 13394.
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 181 and 74?
First, calculate the GCD of 181 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 74 = 2 remainder 33 |
| 2 | 74 ÷ 33 = 2 remainder 8 |
| 3 | 33 ÷ 8 = 4 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 68 | 10132 |
| 70 and 199 | 13930 |
| 39 and 82 | 3198 |
| 180 and 75 | 900 |
| 144 and 148 | 5328 |