Least Common Multiple (LCM) of 135 and 139
The least common multiple (LCM) of 135 and 139 is 18765.
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 135 and 139?
First, calculate the GCD of 135 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 135 ÷ 139 = 0 remainder 135 |
| 2 | 139 ÷ 135 = 1 remainder 4 |
| 3 | 135 ÷ 4 = 33 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 19 and 102 | 1938 |
| 170 and 82 | 6970 |
| 168 and 120 | 840 |
| 101 and 164 | 16564 |
| 35 and 170 | 1190 |