Least Common Multiple (LCM) of 63 and 166
The least common multiple (LCM) of 63 and 166 is 10458.
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 63 and 166?
First, calculate the GCD of 63 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 63 ÷ 166 = 0 remainder 63 |
| 2 | 166 ÷ 63 = 2 remainder 40 |
| 3 | 63 ÷ 40 = 1 remainder 23 |
| 4 | 40 ÷ 23 = 1 remainder 17 |
| 5 | 23 ÷ 17 = 1 remainder 6 |
| 6 | 17 ÷ 6 = 2 remainder 5 |
| 7 | 6 ÷ 5 = 1 remainder 1 |
| 8 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 153 and 120 | 6120 |
| 156 and 161 | 25116 |
| 47 and 20 | 940 |
| 141 and 78 | 3666 |
| 185 and 80 | 2960 |