Least Common Multiple (LCM) of 194 and 34
The least common multiple (LCM) of 194 and 34 is 3298.
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 194 and 34?
First, calculate the GCD of 194 and 34 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 34 = 5 remainder 24 |
| 2 | 34 ÷ 24 = 1 remainder 10 |
| 3 | 24 ÷ 10 = 2 remainder 4 |
| 4 | 10 ÷ 4 = 2 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 139 and 17 | 2363 |
| 38 and 58 | 1102 |
| 99 and 176 | 1584 |
| 18 and 166 | 1494 |
| 101 and 168 | 16968 |