Least Common Multiple (LCM) of 114 and 136
The least common multiple (LCM) of 114 and 136 is 7752.
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 136?
First, calculate the GCD of 114 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 114 ÷ 136 = 0 remainder 114 |
| 2 | 136 ÷ 114 = 1 remainder 22 |
| 3 | 114 ÷ 22 = 5 remainder 4 |
| 4 | 22 ÷ 4 = 5 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 185 and 27 | 4995 |
| 166 and 20 | 1660 |
| 44 and 158 | 3476 |
| 32 and 121 | 3872 |
| 39 and 68 | 2652 |