Least Common Multiple (LCM) of 178 and 26
The least common multiple (LCM) of 178 and 26 is 2314.
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 26?
First, calculate the GCD of 178 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 26 = 6 remainder 22 |
| 2 | 26 ÷ 22 = 1 remainder 4 |
| 3 | 22 ÷ 4 = 5 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 146 | 15622 |
| 149 and 68 | 10132 |
| 88 and 189 | 16632 |
| 45 and 49 | 2205 |
| 62 and 25 | 1550 |