Least Common Multiple (LCM) of 109 and 136
The least common multiple (LCM) of 109 and 136 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 109 and 136?
First, calculate the GCD of 109 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 109 ÷ 136 = 0 remainder 109 |
| 2 | 136 ÷ 109 = 1 remainder 27 |
| 3 | 109 ÷ 27 = 4 remainder 1 |
| 4 | 27 ÷ 1 = 27 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 180 | 16020 |
| 67 and 126 | 8442 |
| 167 and 48 | 8016 |
| 114 and 127 | 14478 |
| 197 and 60 | 11820 |