Least Common Multiple (LCM) of 181 and 156
The least common multiple (LCM) of 181 and 156 is 28236.
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 156?
First, calculate the GCD of 181 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 156 = 1 remainder 25 |
| 2 | 156 ÷ 25 = 6 remainder 6 |
| 3 | 25 ÷ 6 = 4 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 68 | 8772 |
| 165 and 96 | 5280 |
| 86 and 51 | 4386 |
| 159 and 55 | 8745 |
| 107 and 29 | 3103 |