Least Common Multiple (LCM) of 150 and 33
The least common multiple (LCM) of 150 and 33 is 1650.
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 33?
First, calculate the GCD of 150 and 33 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 33 = 4 remainder 18 |
| 2 | 33 ÷ 18 = 1 remainder 15 |
| 3 | 18 ÷ 15 = 1 remainder 3 |
| 4 | 15 ÷ 3 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 59 | 2655 |
| 120 and 32 | 480 |
| 59 and 76 | 4484 |
| 126 and 185 | 23310 |
| 132 and 13 | 1716 |