Least Common Multiple (LCM) of 66 and 196
The least common multiple (LCM) of 66 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 66 and 196?
First, calculate the GCD of 66 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 66 ÷ 196 = 0 remainder 66 |
| 2 | 196 ÷ 66 = 2 remainder 64 |
| 3 | 66 ÷ 64 = 1 remainder 2 |
| 4 | 64 ÷ 2 = 32 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 111 | 12210 |
| 134 and 30 | 2010 |
| 165 and 112 | 18480 |
| 61 and 35 | 2135 |
| 30 and 109 | 3270 |