Least Common Multiple (LCM) of 169 and 166
The least common multiple (LCM) of 169 and 166 is 28054.
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 169 and 166?
First, calculate the GCD of 169 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 166 = 1 remainder 3 |
| 2 | 166 ÷ 3 = 55 remainder 1 |
| 3 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 15 | 525 |
| 135 and 40 | 1080 |
| 10 and 175 | 350 |
| 91 and 50 | 4550 |
| 143 and 85 | 12155 |