Least Common Multiple (LCM) of 132 and 196
The least common multiple (LCM) of 132 and 196 is 6468.
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 132 and 196?
First, calculate the GCD of 132 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 196 = 0 remainder 132 |
| 2 | 196 ÷ 132 = 1 remainder 64 |
| 3 | 132 ÷ 64 = 2 remainder 4 |
| 4 | 64 ÷ 4 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 175 | 8925 |
| 105 and 119 | 1785 |
| 139 and 18 | 2502 |
| 60 and 22 | 660 |
| 175 and 38 | 6650 |