Least Common Multiple (LCM) of 135 and 39
The least common multiple (LCM) of 135 and 39 is 1755.
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 39?
First, calculate the GCD of 135 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 135 ÷ 39 = 3 remainder 18 |
| 2 | 39 ÷ 18 = 2 remainder 3 |
| 3 | 18 ÷ 3 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 77 | 9240 |
| 179 and 160 | 28640 |
| 40 and 182 | 3640 |
| 126 and 178 | 11214 |
| 113 and 186 | 21018 |