Least Common Multiple (LCM) of 60 and 163
The least common multiple (LCM) of 60 and 163 is 9780.
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 60 and 163?
First, calculate the GCD of 60 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 60 ÷ 163 = 0 remainder 60 |
| 2 | 163 ÷ 60 = 2 remainder 43 |
| 3 | 60 ÷ 43 = 1 remainder 17 |
| 4 | 43 ÷ 17 = 2 remainder 9 |
| 5 | 17 ÷ 9 = 1 remainder 8 |
| 6 | 9 ÷ 8 = 1 remainder 1 |
| 7 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 84 and 47 | 3948 |
| 146 and 108 | 7884 |
| 63 and 25 | 1575 |
| 41 and 173 | 7093 |
| 196 and 10 | 980 |