Least Common Multiple (LCM) of 166 and 99
The least common multiple (LCM) of 166 and 99 is 16434.
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 166 and 99?
First, calculate the GCD of 166 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 99 = 1 remainder 67 |
| 2 | 99 ÷ 67 = 1 remainder 32 |
| 3 | 67 ÷ 32 = 2 remainder 3 |
| 4 | 32 ÷ 3 = 10 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 156 | 2028 |
| 164 and 181 | 29684 |
| 157 and 163 | 25591 |
| 10 and 51 | 510 |
| 107 and 172 | 18404 |