Least Common Multiple (LCM) of 108 and 124
The least common multiple (LCM) of 108 and 124 is 3348.
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 108 and 124?
First, calculate the GCD of 108 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 108 ÷ 124 = 0 remainder 108 |
| 2 | 124 ÷ 108 = 1 remainder 16 |
| 3 | 108 ÷ 16 = 6 remainder 12 |
| 4 | 16 ÷ 12 = 1 remainder 4 |
| 5 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 140 | 1260 |
| 51 and 33 | 561 |
| 145 and 112 | 16240 |
| 144 and 39 | 1872 |
| 27 and 117 | 351 |