Least Common Multiple (LCM) of 20 and 179
The least common multiple (LCM) of 20 and 179 is 3580.
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 20 and 179?
First, calculate the GCD of 20 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 20 ÷ 179 = 0 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 |
|---|---|
| 104 and 169 | 1352 |
| 86 and 78 | 3354 |
| 82 and 63 | 5166 |
| 86 and 104 | 4472 |
| 96 and 39 | 1248 |