Least Common Multiple (LCM) of 179 and 132
The least common multiple (LCM) of 179 and 132 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 179 and 132?
First, calculate the GCD of 179 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 132 = 1 remainder 47 |
| 2 | 132 ÷ 47 = 2 remainder 38 |
| 3 | 47 ÷ 38 = 1 remainder 9 |
| 4 | 38 ÷ 9 = 4 remainder 2 |
| 5 | 9 ÷ 2 = 4 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 163 and 170 | 27710 |
| 54 and 20 | 540 |
| 155 and 65 | 2015 |
| 188 and 123 | 23124 |
| 136 and 76 | 2584 |