Least Common Multiple (LCM) of 178 and 164
The least common multiple (LCM) of 178 and 164 is 14596.
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 178 and 164?
First, calculate the GCD of 178 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 164 = 1 remainder 14 |
| 2 | 164 ÷ 14 = 11 remainder 10 |
| 3 | 14 ÷ 10 = 1 remainder 4 |
| 4 | 10 ÷ 4 = 2 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 75 | 2850 |
| 177 and 133 | 23541 |
| 161 and 165 | 26565 |
| 168 and 68 | 2856 |
| 120 and 57 | 2280 |