Least Common Multiple (LCM) of 20 and 146
The least common multiple (LCM) of 20 and 146 is 1460.
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 146?
First, calculate the GCD of 20 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 20 ÷ 146 = 0 remainder 20 |
| 2 | 146 ÷ 20 = 7 remainder 6 |
| 3 | 20 ÷ 6 = 3 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 184 | 4416 |
| 147 and 110 | 16170 |
| 53 and 28 | 1484 |
| 32 and 75 | 2400 |
| 52 and 39 | 156 |