Least Common Multiple (LCM) of 124 and 190
The least common multiple (LCM) of 124 and 190 is 11780.
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 190?
First, calculate the GCD of 124 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 190 = 0 remainder 124 |
| 2 | 190 ÷ 124 = 1 remainder 66 |
| 3 | 124 ÷ 66 = 1 remainder 58 |
| 4 | 66 ÷ 58 = 1 remainder 8 |
| 5 | 58 ÷ 8 = 7 remainder 2 |
| 6 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 139 | 1390 |
| 139 and 21 | 2919 |
| 102 and 157 | 16014 |
| 53 and 157 | 8321 |
| 159 and 37 | 5883 |