Least Common Multiple (LCM) of 179 and 199
The least common multiple (LCM) of 179 and 199 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 179 and 199?
First, calculate the GCD of 179 and 199 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 199 = 0 remainder 179 |
| 2 | 199 ÷ 179 = 1 remainder 20 |
| 3 | 179 ÷ 20 = 8 remainder 19 |
| 4 | 20 ÷ 19 = 1 remainder 1 |
| 5 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 167 | 12525 |
| 152 and 10 | 760 |
| 48 and 117 | 1872 |
| 107 and 20 | 2140 |
| 42 and 34 | 714 |