Least Common Multiple (LCM) of 136 and 109
The least common multiple (LCM) of 136 and 109 is 14824.
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 109?
First, calculate the GCD of 136 and 109 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 109 = 1 remainder 27 |
| 2 | 109 ÷ 27 = 4 remainder 1 |
| 3 | 27 ÷ 1 = 27 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 27 | 1323 |
| 102 and 156 | 2652 |
| 42 and 149 | 6258 |
| 29 and 75 | 2175 |
| 192 and 84 | 1344 |