Least Common Multiple (LCM) of 20 and 92
The least common multiple (LCM) of 20 and 92 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 92?
First, calculate the GCD of 20 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 20 ÷ 92 = 0 remainder 20 |
| 2 | 92 ÷ 20 = 4 remainder 12 |
| 3 | 20 ÷ 12 = 1 remainder 8 |
| 4 | 12 ÷ 8 = 1 remainder 4 |
| 5 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 155 | 4495 |
| 55 and 61 | 3355 |
| 67 and 37 | 2479 |
| 83 and 168 | 13944 |
| 25 and 67 | 1675 |