Least Common Multiple (LCM) of 196 and 148
The least common multiple (LCM) of 196 and 148 is 7252.
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 148?
First, calculate the GCD of 196 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 148 = 1 remainder 48 |
| 2 | 148 ÷ 48 = 3 remainder 4 |
| 3 | 48 ÷ 4 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 184 and 16 | 368 |
| 122 and 36 | 2196 |
| 182 and 193 | 35126 |
| 100 and 145 | 2900 |
| 86 and 10 | 430 |