Least Common Multiple (LCM) of 195 and 56
The least common multiple (LCM) of 195 and 56 is 10920.
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 195 and 56?
First, calculate the GCD of 195 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 56 = 3 remainder 27 |
| 2 | 56 ÷ 27 = 2 remainder 2 |
| 3 | 27 ÷ 2 = 13 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 50 and 35 | 350 |
| 84 and 70 | 420 |
| 39 and 101 | 3939 |
| 42 and 137 | 5754 |
| 115 and 94 | 10810 |