Least Common Multiple (LCM) of 179 and 187
The least common multiple (LCM) of 179 and 187 is 33473.
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 187?
First, calculate the GCD of 179 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 187 = 0 remainder 179 |
| 2 | 187 ÷ 179 = 1 remainder 8 |
| 3 | 179 ÷ 8 = 22 remainder 3 |
| 4 | 8 ÷ 3 = 2 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 42 and 21 | 42 |
| 157 and 83 | 13031 |
| 173 and 74 | 12802 |
| 122 and 98 | 5978 |
| 148 and 194 | 14356 |