Least Common Multiple (LCM) of 163 and 57
The least common multiple (LCM) of 163 and 57 is 9291.
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 163 and 57?
First, calculate the GCD of 163 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 57 = 2 remainder 49 |
| 2 | 57 ÷ 49 = 1 remainder 8 |
| 3 | 49 ÷ 8 = 6 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 30 | 690 |
| 62 and 136 | 4216 |
| 54 and 133 | 7182 |
| 72 and 107 | 7704 |
| 18 and 85 | 1530 |