Least Common Multiple (LCM) of 179 and 197
The least common multiple (LCM) of 179 and 197 is 35263.
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 197?
First, calculate the GCD of 179 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 197 = 0 remainder 179 |
| 2 | 197 ÷ 179 = 1 remainder 18 |
| 3 | 179 ÷ 18 = 9 remainder 17 |
| 4 | 18 ÷ 17 = 1 remainder 1 |
| 5 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 25 and 118 | 2950 |
| 128 and 170 | 10880 |
| 197 and 82 | 16154 |
| 144 and 112 | 1008 |
| 12 and 42 | 84 |