Least Common Multiple (LCM) of 196 and 26
The least common multiple (LCM) of 196 and 26 is 2548.
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 26?
First, calculate the GCD of 196 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 26 = 7 remainder 14 |
| 2 | 26 ÷ 14 = 1 remainder 12 |
| 3 | 14 ÷ 12 = 1 remainder 2 |
| 4 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 55 | 6765 |
| 66 and 181 | 11946 |
| 11 and 76 | 836 |
| 116 and 20 | 580 |
| 190 and 21 | 3990 |