Least Common Multiple (LCM) of 196 and 41
The least common multiple (LCM) of 196 and 41 is 8036.
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 41?
First, calculate the GCD of 196 and 41 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 41 = 4 remainder 32 |
| 2 | 41 ÷ 32 = 1 remainder 9 |
| 3 | 32 ÷ 9 = 3 remainder 5 |
| 4 | 9 ÷ 5 = 1 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 124 | 15004 |
| 54 and 35 | 1890 |
| 170 and 107 | 18190 |
| 184 and 81 | 14904 |
| 183 and 136 | 24888 |