Least Common Multiple (LCM) of 136 and 39
The least common multiple (LCM) of 136 and 39 is 5304.
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 39?
First, calculate the GCD of 136 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 39 = 3 remainder 19 |
| 2 | 39 ÷ 19 = 2 remainder 1 |
| 3 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 81 | 12069 |
| 137 and 77 | 10549 |
| 197 and 10 | 1970 |
| 112 and 185 | 20720 |
| 61 and 29 | 1769 |