Least Common Multiple (LCM) of 198 and 124
The least common multiple (LCM) of 198 and 124 is 12276.
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 124?
First, calculate the GCD of 198 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 124 = 1 remainder 74 |
| 2 | 124 ÷ 74 = 1 remainder 50 |
| 3 | 74 ÷ 50 = 1 remainder 24 |
| 4 | 50 ÷ 24 = 2 remainder 2 |
| 5 | 24 ÷ 2 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 104 | 9256 |
| 79 and 14 | 1106 |
| 49 and 135 | 6615 |
| 38 and 140 | 2660 |
| 131 and 103 | 13493 |