Least Common Multiple (LCM) of 20 and 46
The least common multiple (LCM) of 20 and 46 is 460.
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 46?
First, calculate the GCD of 20 and 46 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 20 ÷ 46 = 0 remainder 20 |
| 2 | 46 ÷ 20 = 2 remainder 6 |
| 3 | 20 ÷ 6 = 3 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 122 | 7076 |
| 185 and 30 | 1110 |
| 191 and 167 | 31897 |
| 90 and 160 | 1440 |
| 135 and 63 | 945 |