Least Common Multiple (LCM) of 181 and 148
The least common multiple (LCM) of 181 and 148 is 26788.
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 148?
First, calculate the GCD of 181 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 148 = 1 remainder 33 |
| 2 | 148 ÷ 33 = 4 remainder 16 |
| 3 | 33 ÷ 16 = 2 remainder 1 |
| 4 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 93 | 1581 |
| 73 and 123 | 8979 |
| 126 and 147 | 882 |
| 74 and 118 | 4366 |
| 157 and 197 | 30929 |