Least Common Multiple (LCM) of 150 and 135
The least common multiple (LCM) of 150 and 135 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 150 and 135?
First, calculate the GCD of 150 and 135 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 135 = 1 remainder 15 |
| 2 | 135 ÷ 15 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 69 | 2829 |
| 185 and 86 | 15910 |
| 101 and 31 | 3131 |
| 66 and 117 | 2574 |
| 44 and 115 | 5060 |