Least Common Multiple (LCM) of 114 and 39
The least common multiple (LCM) of 114 and 39 is 1482.
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 114 and 39?
First, calculate the GCD of 114 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 114 ÷ 39 = 2 remainder 36 |
| 2 | 39 ÷ 36 = 1 remainder 3 |
| 3 | 36 ÷ 3 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 83 and 100 | 8300 |
| 195 and 200 | 7800 |
| 30 and 68 | 1020 |
| 162 and 192 | 5184 |
| 107 and 28 | 2996 |