Least Common Multiple (LCM) of 132 and 150
The least common multiple (LCM) of 132 and 150 is 3300.
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 132 and 150?
First, calculate the GCD of 132 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 150 = 0 remainder 132 |
| 2 | 150 ÷ 132 = 1 remainder 18 |
| 3 | 132 ÷ 18 = 7 remainder 6 |
| 4 | 18 ÷ 6 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 32 | 3296 |
| 140 and 163 | 22820 |
| 87 and 59 | 5133 |
| 31 and 149 | 4619 |
| 42 and 80 | 1680 |