Least Common Multiple (LCM) of 145 and 132
The least common multiple (LCM) of 145 and 132 is 19140.
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 145 and 132?
First, calculate the GCD of 145 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 132 = 1 remainder 13 |
| 2 | 132 ÷ 13 = 10 remainder 2 |
| 3 | 13 ÷ 2 = 6 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 17 | 2907 |
| 76 and 67 | 5092 |
| 197 and 22 | 4334 |
| 105 and 178 | 18690 |
| 130 and 117 | 1170 |