Least Common Multiple (LCM) of 124 and 138
The least common multiple (LCM) of 124 and 138 is 8556.
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 138?
First, calculate the GCD of 124 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 138 = 0 remainder 124 |
| 2 | 138 ÷ 124 = 1 remainder 14 |
| 3 | 124 ÷ 14 = 8 remainder 12 |
| 4 | 14 ÷ 12 = 1 remainder 2 |
| 5 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 24 | 312 |
| 26 and 181 | 4706 |
| 114 and 57 | 114 |
| 144 and 138 | 3312 |
| 169 and 138 | 23322 |