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 |
|---|---|
| 62 and 194 | 6014 |
| 108 and 24 | 216 |
| 190 and 82 | 7790 |
| 137 and 89 | 12193 |
| 100 and 147 | 14700 |