Least Common Multiple (LCM) of 20 and 145
The least common multiple (LCM) of 20 and 145 is 580.
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 145?
First, calculate the GCD of 20 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 20 ÷ 145 = 0 remainder 20 |
| 2 | 145 ÷ 20 = 7 remainder 5 |
| 3 | 20 ÷ 5 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 104 | 18824 |
| 191 and 36 | 6876 |
| 160 and 155 | 4960 |
| 174 and 42 | 1218 |
| 177 and 111 | 6549 |