Least Common Multiple (LCM) of 145 and 181
The least common multiple (LCM) of 145 and 181 is 26245.
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 145 and 181?
First, calculate the GCD of 145 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 181 = 0 remainder 145 |
| 2 | 181 ÷ 145 = 1 remainder 36 |
| 3 | 145 ÷ 36 = 4 remainder 1 |
| 4 | 36 ÷ 1 = 36 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 34 | 1836 |
| 134 and 113 | 15142 |
| 104 and 156 | 312 |
| 137 and 100 | 13700 |
| 90 and 188 | 8460 |