Least Common Multiple (LCM) of 167 and 66
The least common multiple (LCM) of 167 and 66 is 11022.
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 66?
First, calculate the GCD of 167 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 66 = 2 remainder 35 |
| 2 | 66 ÷ 35 = 1 remainder 31 |
| 3 | 35 ÷ 31 = 1 remainder 4 |
| 4 | 31 ÷ 4 = 7 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 57 and 69 | 1311 |
| 198 and 162 | 1782 |
| 124 and 29 | 3596 |
| 14 and 121 | 1694 |
| 90 and 186 | 2790 |