Least Common Multiple (LCM) of 167 and 99
The least common multiple (LCM) of 167 and 99 is 16533.
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 167 and 99?
First, calculate the GCD of 167 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 99 = 1 remainder 68 |
| 2 | 99 ÷ 68 = 1 remainder 31 |
| 3 | 68 ÷ 31 = 2 remainder 6 |
| 4 | 31 ÷ 6 = 5 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 35 and 36 | 1260 |
| 144 and 13 | 1872 |
| 157 and 41 | 6437 |
| 43 and 97 | 4171 |
| 51 and 134 | 6834 |