Least Common Multiple (LCM) of 135 and 150
The least common multiple (LCM) of 135 and 150 is 1350.
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 150?
First, calculate the GCD of 135 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 135 ÷ 150 = 0 remainder 135 |
| 2 | 150 ÷ 135 = 1 remainder 15 |
| 3 | 135 ÷ 15 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 149 | 29353 |
| 54 and 175 | 9450 |
| 197 and 130 | 25610 |
| 106 and 114 | 6042 |
| 184 and 67 | 12328 |