Least Common Multiple (LCM) of 191 and 179
The least common multiple (LCM) of 191 and 179 is 34189.
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 191 and 179?
First, calculate the GCD of 191 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 179 = 1 remainder 12 |
| 2 | 179 ÷ 12 = 14 remainder 11 |
| 3 | 12 ÷ 11 = 1 remainder 1 |
| 4 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 18 | 1800 |
| 42 and 25 | 1050 |
| 101 and 146 | 14746 |
| 98 and 41 | 4018 |
| 174 and 45 | 2610 |