Least Common Multiple (LCM) of 135 and 147
The least common multiple (LCM) of 135 and 147 is 6615.
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 147?
First, calculate the GCD of 135 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 135 ÷ 147 = 0 remainder 135 |
| 2 | 147 ÷ 135 = 1 remainder 12 |
| 3 | 135 ÷ 12 = 11 remainder 3 |
| 4 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 137 | 25482 |
| 128 and 104 | 1664 |
| 112 and 64 | 448 |
| 183 and 42 | 2562 |
| 173 and 84 | 14532 |