Least Common Multiple (LCM) of 124 and 191
The least common multiple (LCM) of 124 and 191 is 23684.
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 191?
First, calculate the GCD of 124 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 191 = 0 remainder 124 |
| 2 | 191 ÷ 124 = 1 remainder 67 |
| 3 | 124 ÷ 67 = 1 remainder 57 |
| 4 | 67 ÷ 57 = 1 remainder 10 |
| 5 | 57 ÷ 10 = 5 remainder 7 |
| 6 | 10 ÷ 7 = 1 remainder 3 |
| 7 | 7 ÷ 3 = 2 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 140 | 2380 |
| 131 and 144 | 18864 |
| 107 and 187 | 20009 |
| 42 and 46 | 966 |
| 51 and 142 | 7242 |