Least Common Multiple (LCM) of 20 and 106
The least common multiple (LCM) of 20 and 106 is 1060.
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 106?
First, calculate the GCD of 20 and 106 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 20 ÷ 106 = 0 remainder 20 |
| 2 | 106 ÷ 20 = 5 remainder 6 |
| 3 | 20 ÷ 6 = 3 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 118 | 21358 |
| 24 and 89 | 2136 |
| 182 and 12 | 1092 |
| 132 and 97 | 12804 |
| 65 and 87 | 5655 |