Least Common Multiple (LCM) of 14 and 114
The least common multiple (LCM) of 14 and 114 is 798.
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 14 and 114?
First, calculate the GCD of 14 and 114 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 14 ÷ 114 = 0 remainder 14 |
| 2 | 114 ÷ 14 = 8 remainder 2 |
| 3 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 21 | 3129 |
| 121 and 189 | 22869 |
| 103 and 72 | 7416 |
| 179 and 43 | 7697 |
| 59 and 114 | 6726 |