Least Common Multiple (LCM) of 196 and 59
The least common multiple (LCM) of 196 and 59 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 196 and 59?
First, calculate the GCD of 196 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 59 = 3 remainder 19 |
| 2 | 59 ÷ 19 = 3 remainder 2 |
| 3 | 19 ÷ 2 = 9 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 71 and 119 | 8449 |
| 187 and 36 | 6732 |
| 103 and 200 | 20600 |
| 130 and 48 | 3120 |
| 108 and 158 | 8532 |