Least Common Multiple (LCM) of 196 and 159
The least common multiple (LCM) of 196 and 159 is 31164.
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 159?
First, calculate the GCD of 196 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 159 = 1 remainder 37 |
| 2 | 159 ÷ 37 = 4 remainder 11 |
| 3 | 37 ÷ 11 = 3 remainder 4 |
| 4 | 11 ÷ 4 = 2 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 28 and 35 | 140 |
| 182 and 73 | 13286 |
| 79 and 63 | 4977 |
| 148 and 183 | 27084 |
| 142 and 159 | 22578 |