Least Common Multiple (LCM) of 198 and 152
The least common multiple (LCM) of 198 and 152 is 15048.
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 152?
First, calculate the GCD of 198 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 152 = 1 remainder 46 |
| 2 | 152 ÷ 46 = 3 remainder 14 |
| 3 | 46 ÷ 14 = 3 remainder 4 |
| 4 | 14 ÷ 4 = 3 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 28 | 2996 |
| 117 and 137 | 16029 |
| 125 and 168 | 21000 |
| 194 and 29 | 5626 |
| 194 and 18 | 1746 |