Least Common Multiple (LCM) of 196 and 34
The least common multiple (LCM) of 196 and 34 is 3332.
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 34?
First, calculate the GCD of 196 and 34 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 34 = 5 remainder 26 |
| 2 | 34 ÷ 26 = 1 remainder 8 |
| 3 | 26 ÷ 8 = 3 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 131 and 57 | 7467 |
| 86 and 71 | 6106 |
| 108 and 54 | 108 |
| 17 and 108 | 1836 |
| 162 and 55 | 8910 |