Least Common Multiple (LCM) of 20 and 83
The least common multiple (LCM) of 20 and 83 is 1660.
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 83?
First, calculate the GCD of 20 and 83 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 20 ÷ 83 = 0 remainder 20 |
| 2 | 83 ÷ 20 = 4 remainder 3 |
| 3 | 20 ÷ 3 = 6 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 95 and 121 | 11495 |
| 27 and 86 | 2322 |
| 133 and 128 | 17024 |
| 152 and 121 | 18392 |
| 173 and 124 | 21452 |