Least Common Multiple (LCM) of 194 and 56
The least common multiple (LCM) of 194 and 56 is 5432.
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 56?
First, calculate the GCD of 194 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 56 = 3 remainder 26 |
| 2 | 56 ÷ 26 = 2 remainder 4 |
| 3 | 26 ÷ 4 = 6 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 62 and 82 | 2542 |
| 152 and 165 | 25080 |
| 151 and 136 | 20536 |
| 120 and 26 | 1560 |
| 116 and 91 | 10556 |