Least Common Multiple (LCM) of 199 and 179
The least common multiple (LCM) of 199 and 179 is 35621.
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 199 and 179?
First, calculate the GCD of 199 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 199 ÷ 179 = 1 remainder 20 |
| 2 | 179 ÷ 20 = 8 remainder 19 |
| 3 | 20 ÷ 19 = 1 remainder 1 |
| 4 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 37 | 4144 |
| 63 and 25 | 1575 |
| 80 and 154 | 6160 |
| 10 and 100 | 100 |
| 175 and 28 | 700 |