Least Common Multiple (LCM) of 114 and 133
The least common multiple (LCM) of 114 and 133 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 114 and 133?
First, calculate the GCD of 114 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 114 ÷ 133 = 0 remainder 114 |
| 2 | 133 ÷ 114 = 1 remainder 19 |
| 3 | 114 ÷ 19 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 126 | 5040 |
| 146 and 14 | 1022 |
| 68 and 143 | 9724 |
| 97 and 182 | 17654 |
| 103 and 130 | 13390 |