Least Common Multiple (LCM) of 196 and 178
The least common multiple (LCM) of 196 and 178 is 17444.
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 196 and 178?
First, calculate the GCD of 196 and 178 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 178 = 1 remainder 18 |
| 2 | 178 ÷ 18 = 9 remainder 16 |
| 3 | 18 ÷ 16 = 1 remainder 2 |
| 4 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 147 | 3234 |
| 91 and 49 | 637 |
| 57 and 54 | 1026 |
| 169 and 63 | 10647 |
| 184 and 156 | 7176 |