Least Common Multiple (LCM) of 132 and 179
The least common multiple (LCM) of 132 and 179 is 23628.
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 179?
First, calculate the GCD of 132 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 179 = 0 remainder 132 |
| 2 | 179 ÷ 132 = 1 remainder 47 |
| 3 | 132 ÷ 47 = 2 remainder 38 |
| 4 | 47 ÷ 38 = 1 remainder 9 |
| 5 | 38 ÷ 9 = 4 remainder 2 |
| 6 | 9 ÷ 2 = 4 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 183 | 23790 |
| 12 and 122 | 732 |
| 90 and 46 | 2070 |
| 68 and 12 | 204 |
| 69 and 177 | 4071 |