Least Common Multiple (LCM) of 132 and 17
The least common multiple (LCM) of 132 and 17 is 2244.
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 17?
First, calculate the GCD of 132 and 17 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 17 = 7 remainder 13 |
| 2 | 17 ÷ 13 = 1 remainder 4 |
| 3 | 13 ÷ 4 = 3 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 58 | 870 |
| 147 and 187 | 27489 |
| 123 and 118 | 14514 |
| 81 and 36 | 324 |
| 173 and 147 | 25431 |