Least Common Multiple (LCM) of 197 and 124
The least common multiple (LCM) of 197 and 124 is 24428.
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 197 and 124?
First, calculate the GCD of 197 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 124 = 1 remainder 73 |
| 2 | 124 ÷ 73 = 1 remainder 51 |
| 3 | 73 ÷ 51 = 1 remainder 22 |
| 4 | 51 ÷ 22 = 2 remainder 7 |
| 5 | 22 ÷ 7 = 3 remainder 1 |
| 6 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 114 | 22002 |
| 131 and 193 | 25283 |
| 75 and 136 | 10200 |
| 143 and 109 | 15587 |
| 137 and 129 | 17673 |