Least Common Multiple (LCM) of 156 and 181
The least common multiple (LCM) of 156 and 181 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 156 and 181?
First, calculate the GCD of 156 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 181 = 0 remainder 156 |
| 2 | 181 ÷ 156 = 1 remainder 25 |
| 3 | 156 ÷ 25 = 6 remainder 6 |
| 4 | 25 ÷ 6 = 4 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 14 | 350 |
| 186 and 62 | 186 |
| 50 and 71 | 3550 |
| 103 and 63 | 6489 |
| 99 and 185 | 18315 |