Least Common Multiple (LCM) of 132 and 146
The least common multiple (LCM) of 132 and 146 is 9636.
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 146?
First, calculate the GCD of 132 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 146 = 0 remainder 132 |
| 2 | 146 ÷ 132 = 1 remainder 14 |
| 3 | 132 ÷ 14 = 9 remainder 6 |
| 4 | 14 ÷ 6 = 2 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 61 and 103 | 6283 |
| 33 and 156 | 1716 |
| 117 and 81 | 1053 |
| 160 and 199 | 31840 |
| 13 and 197 | 2561 |