Least Common Multiple (LCM) of 166 and 164
The least common multiple (LCM) of 166 and 164 is 13612.
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 164?
First, calculate the GCD of 166 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 164 = 1 remainder 2 |
| 2 | 164 ÷ 2 = 82 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 72 | 3528 |
| 186 and 149 | 27714 |
| 39 and 188 | 7332 |
| 84 and 100 | 2100 |
| 106 and 182 | 9646 |