Least Common Multiple (LCM) of 150 and 81
The least common multiple (LCM) of 150 and 81 is 4050.
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 81?
First, calculate the GCD of 150 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 81 = 1 remainder 69 |
| 2 | 81 ÷ 69 = 1 remainder 12 |
| 3 | 69 ÷ 12 = 5 remainder 9 |
| 4 | 12 ÷ 9 = 1 remainder 3 |
| 5 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 26 | 2938 |
| 87 and 69 | 2001 |
| 109 and 103 | 11227 |
| 18 and 185 | 3330 |
| 140 and 67 | 9380 |