Least Common Multiple (LCM) of 59 and 196
The least common multiple (LCM) of 59 and 196 is 11564.
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 59 and 196?
First, calculate the GCD of 59 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 59 ÷ 196 = 0 remainder 59 |
| 2 | 196 ÷ 59 = 3 remainder 19 |
| 3 | 59 ÷ 19 = 3 remainder 2 |
| 4 | 19 ÷ 2 = 9 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 25 and 82 | 2050 |
| 93 and 28 | 2604 |
| 49 and 60 | 2940 |
| 156 and 177 | 9204 |
| 104 and 191 | 19864 |