Least Common Multiple (LCM) of 166 and 89
The least common multiple (LCM) of 166 and 89 is 14774.
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 89?
First, calculate the GCD of 166 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 89 = 1 remainder 77 |
| 2 | 89 ÷ 77 = 1 remainder 12 |
| 3 | 77 ÷ 12 = 6 remainder 5 |
| 4 | 12 ÷ 5 = 2 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 35 | 6265 |
| 37 and 117 | 4329 |
| 180 and 140 | 1260 |
| 109 and 132 | 14388 |
| 70 and 104 | 3640 |