Least Common Multiple (LCM) of 124 and 112
The least common multiple (LCM) of 124 and 112 is 3472.
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 112?
First, calculate the GCD of 124 and 112 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 112 = 1 remainder 12 |
| 2 | 112 ÷ 12 = 9 remainder 4 |
| 3 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 73 | 11023 |
| 54 and 60 | 540 |
| 109 and 161 | 17549 |
| 195 and 173 | 33735 |
| 121 and 66 | 726 |