Least Common Multiple (LCM) of 29 and 20
The least common multiple (LCM) of 29 and 20 is 580.
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 29 and 20?
First, calculate the GCD of 29 and 20 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 29 ÷ 20 = 1 remainder 9 |
| 2 | 20 ÷ 9 = 2 remainder 2 |
| 3 | 9 ÷ 2 = 4 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 182 | 10738 |
| 194 and 37 | 7178 |
| 173 and 83 | 14359 |
| 172 and 105 | 18060 |
| 119 and 187 | 1309 |