Least Common Multiple (LCM) of 20 and 178
The least common multiple (LCM) of 20 and 178 is 1780.
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 20 and 178?
First, calculate the GCD of 20 and 178 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 20 ÷ 178 = 0 remainder 20 |
| 2 | 178 ÷ 20 = 8 remainder 18 |
| 3 | 20 ÷ 18 = 1 remainder 2 |
| 4 | 18 ÷ 2 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 94 and 122 | 5734 |
| 89 and 193 | 17177 |
| 197 and 152 | 29944 |
| 148 and 67 | 9916 |
| 153 and 83 | 12699 |