Least Common Multiple (LCM) of 124 and 194
The least common multiple (LCM) of 124 and 194 is 12028.
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 194?
First, calculate the GCD of 124 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 194 = 0 remainder 124 |
| 2 | 194 ÷ 124 = 1 remainder 70 |
| 3 | 124 ÷ 70 = 1 remainder 54 |
| 4 | 70 ÷ 54 = 1 remainder 16 |
| 5 | 54 ÷ 16 = 3 remainder 6 |
| 6 | 16 ÷ 6 = 2 remainder 4 |
| 7 | 6 ÷ 4 = 1 remainder 2 |
| 8 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 131 and 193 | 25283 |
| 110 and 112 | 6160 |
| 61 and 168 | 10248 |
| 97 and 122 | 11834 |
| 62 and 124 | 124 |