Least Common Multiple (LCM) of 166 and 169
The least common multiple (LCM) of 166 and 169 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 166 and 169?
First, calculate the GCD of 166 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 169 = 0 remainder 166 |
| 2 | 169 ÷ 166 = 1 remainder 3 |
| 3 | 166 ÷ 3 = 55 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 13 | 1625 |
| 49 and 142 | 6958 |
| 200 and 135 | 5400 |
| 199 and 152 | 30248 |
| 45 and 133 | 5985 |