Least Common Multiple (LCM) of 179 and 189
The least common multiple (LCM) of 179 and 189 is 33831.
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 189?
First, calculate the GCD of 179 and 189 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 189 = 0 remainder 179 |
| 2 | 189 ÷ 179 = 1 remainder 10 |
| 3 | 179 ÷ 10 = 17 remainder 9 |
| 4 | 10 ÷ 9 = 1 remainder 1 |
| 5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 33 | 2937 |
| 109 and 89 | 9701 |
| 138 and 17 | 2346 |
| 81 and 95 | 7695 |
| 166 and 188 | 15604 |