Least Common Multiple (LCM) of 179 and 198
The least common multiple (LCM) of 179 and 198 is 35442.
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 198?
First, calculate the GCD of 179 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 198 = 0 remainder 179 |
| 2 | 198 ÷ 179 = 1 remainder 19 |
| 3 | 179 ÷ 19 = 9 remainder 8 |
| 4 | 19 ÷ 8 = 2 remainder 3 |
| 5 | 8 ÷ 3 = 2 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 25 | 4175 |
| 66 and 91 | 6006 |
| 126 and 112 | 1008 |
| 59 and 29 | 1711 |
| 20 and 61 | 1220 |