Least Common Multiple (LCM) of 114 and 117
The least common multiple (LCM) of 114 and 117 is 4446.
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 117?
First, calculate the GCD of 114 and 117 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 114 ÷ 117 = 0 remainder 114 |
| 2 | 117 ÷ 114 = 1 remainder 3 |
| 3 | 114 ÷ 3 = 38 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 24 | 240 |
| 124 and 119 | 14756 |
| 116 and 157 | 18212 |
| 43 and 42 | 1806 |
| 119 and 163 | 19397 |