Least Common Multiple (LCM) of 198 and 147
The least common multiple (LCM) of 198 and 147 is 9702.
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 198 and 147?
First, calculate the GCD of 198 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 147 = 1 remainder 51 |
| 2 | 147 ÷ 51 = 2 remainder 45 |
| 3 | 51 ÷ 45 = 1 remainder 6 |
| 4 | 45 ÷ 6 = 7 remainder 3 |
| 5 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 51 | 10047 |
| 121 and 54 | 6534 |
| 84 and 48 | 336 |
| 68 and 175 | 11900 |
| 73 and 121 | 8833 |