Least Common Multiple (LCM) of 20 and 29
The least common multiple (LCM) of 20 and 29 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 20 and 29?
First, calculate the GCD of 20 and 29 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 20 ÷ 29 = 0 remainder 20 |
| 2 | 29 ÷ 20 = 1 remainder 9 |
| 3 | 20 ÷ 9 = 2 remainder 2 |
| 4 | 9 ÷ 2 = 4 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 102 | 612 |
| 126 and 185 | 23310 |
| 139 and 32 | 4448 |
| 53 and 13 | 689 |
| 191 and 190 | 36290 |