Least Common Multiple (LCM) of 153 and 198
The least common multiple (LCM) of 153 and 198 is 3366.
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 153 and 198?
First, calculate the GCD of 153 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 198 = 0 remainder 153 |
| 2 | 198 ÷ 153 = 1 remainder 45 |
| 3 | 153 ÷ 45 = 3 remainder 18 |
| 4 | 45 ÷ 18 = 2 remainder 9 |
| 5 | 18 ÷ 9 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 40 and 188 | 1880 |
| 128 and 47 | 6016 |
| 120 and 60 | 120 |
| 151 and 184 | 27784 |
| 49 and 200 | 9800 |