Least Common Multiple (LCM) of 57 and 161
The least common multiple (LCM) of 57 and 161 is 9177.
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 57 and 161?
First, calculate the GCD of 57 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 57 ÷ 161 = 0 remainder 57 |
| 2 | 161 ÷ 57 = 2 remainder 47 |
| 3 | 57 ÷ 47 = 1 remainder 10 |
| 4 | 47 ÷ 10 = 4 remainder 7 |
| 5 | 10 ÷ 7 = 1 remainder 3 |
| 6 | 7 ÷ 3 = 2 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 54 and 48 | 432 |
| 11 and 46 | 506 |
| 142 and 126 | 8946 |
| 143 and 27 | 3861 |
| 10 and 37 | 370 |