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 |
|---|---|
| 182 and 19 | 3458 |
| 133 and 149 | 19817 |
| 77 and 45 | 3465 |
| 96 and 87 | 2784 |
| 147 and 129 | 6321 |