Least Common Multiple (LCM) of 74 and 181
The least common multiple (LCM) of 74 and 181 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 74 and 181?
First, calculate the GCD of 74 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 74 ÷ 181 = 0 remainder 74 |
| 2 | 181 ÷ 74 = 2 remainder 33 |
| 3 | 74 ÷ 33 = 2 remainder 8 |
| 4 | 33 ÷ 8 = 4 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 103 | 16377 |
| 168 and 118 | 9912 |
| 51 and 137 | 6987 |
| 133 and 174 | 23142 |
| 109 and 38 | 4142 |