Least Common Multiple (LCM) of 189 and 179
The least common multiple (LCM) of 189 and 179 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 189 and 179?
First, calculate the GCD of 189 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 189 ÷ 179 = 1 remainder 10 |
| 2 | 179 ÷ 10 = 17 remainder 9 |
| 3 | 10 ÷ 9 = 1 remainder 1 |
| 4 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 159 | 31800 |
| 45 and 123 | 1845 |
| 78 and 50 | 1950 |
| 49 and 154 | 1078 |
| 174 and 93 | 5394 |