Least Common Multiple (LCM) of 196 and 18
The least common multiple (LCM) of 196 and 18 is 1764.
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 18?
First, calculate the GCD of 196 and 18 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 18 = 10 remainder 16 |
| 2 | 18 ÷ 16 = 1 remainder 2 |
| 3 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 192 | 20544 |
| 42 and 101 | 4242 |
| 185 and 38 | 7030 |
| 66 and 63 | 1386 |
| 94 and 167 | 15698 |