Least Common Multiple (LCM) of 196 and 91
The least common multiple (LCM) of 196 and 91 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 91?
First, calculate the GCD of 196 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 91 = 2 remainder 14 |
| 2 | 91 ÷ 14 = 6 remainder 7 |
| 3 | 14 ÷ 7 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 103 | 15038 |
| 125 and 92 | 11500 |
| 22 and 41 | 902 |
| 150 and 32 | 2400 |
| 103 and 82 | 8446 |