Least Common Multiple (LCM) of 136 and 114
The least common multiple (LCM) of 136 and 114 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 136 and 114?
First, calculate the GCD of 136 and 114 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 114 = 1 remainder 22 |
| 2 | 114 ÷ 22 = 5 remainder 4 |
| 3 | 22 ÷ 4 = 5 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 174 | 6786 |
| 153 and 105 | 5355 |
| 73 and 41 | 2993 |
| 68 and 119 | 476 |
| 190 and 76 | 380 |