Least Common Multiple (LCM) of 124 and 104
The least common multiple (LCM) of 124 and 104 is 3224.
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 104?
First, calculate the GCD of 124 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 104 = 1 remainder 20 |
| 2 | 104 ÷ 20 = 5 remainder 4 |
| 3 | 20 ÷ 4 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 63 | 3150 |
| 77 and 28 | 308 |
| 138 and 108 | 2484 |
| 172 and 125 | 21500 |
| 14 and 197 | 2758 |