Least Common Multiple (LCM) of 124 and 198
The least common multiple (LCM) of 124 and 198 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 124 and 198?
First, calculate the GCD of 124 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 198 = 0 remainder 124 |
| 2 | 198 ÷ 124 = 1 remainder 74 |
| 3 | 124 ÷ 74 = 1 remainder 50 |
| 4 | 74 ÷ 50 = 1 remainder 24 |
| 5 | 50 ÷ 24 = 2 remainder 2 |
| 6 | 24 ÷ 2 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 32 and 124 | 992 |
| 13 and 78 | 78 |
| 115 and 102 | 11730 |
| 38 and 162 | 3078 |
| 93 and 32 | 2976 |