Least Common Multiple (LCM) of 189 and 196
The least common multiple (LCM) of 189 and 196 is 5292.
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 189 and 196?
First, calculate the GCD of 189 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 189 ÷ 196 = 0 remainder 189 |
| 2 | 196 ÷ 189 = 1 remainder 7 |
| 3 | 189 ÷ 7 = 27 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 191 and 19 | 3629 |
| 37 and 193 | 7141 |
| 19 and 82 | 1558 |
| 102 and 62 | 3162 |
| 107 and 154 | 16478 |