Least Common Multiple (LCM) of 157 and 181
The least common multiple (LCM) of 157 and 181 is 28417.
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 157 and 181?
First, calculate the GCD of 157 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 181 = 0 remainder 157 |
| 2 | 181 ÷ 157 = 1 remainder 24 |
| 3 | 157 ÷ 24 = 6 remainder 13 |
| 4 | 24 ÷ 13 = 1 remainder 11 |
| 5 | 13 ÷ 11 = 1 remainder 2 |
| 6 | 11 ÷ 2 = 5 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 47 and 39 | 1833 |
| 156 and 164 | 6396 |
| 63 and 189 | 189 |
| 81 and 144 | 1296 |
| 90 and 10 | 90 |