Least Common Multiple (LCM) of 136 and 19
The least common multiple (LCM) of 136 and 19 is 2584.
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 19?
First, calculate the GCD of 136 and 19 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 19 = 7 remainder 3 |
| 2 | 19 ÷ 3 = 6 remainder 1 |
| 3 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 36 | 6084 |
| 18 and 165 | 990 |
| 135 and 100 | 2700 |
| 194 and 188 | 18236 |
| 45 and 181 | 8145 |