Least Common Multiple (LCM) of 145 and 22
The least common multiple (LCM) of 145 and 22 is 3190.
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 145 and 22?
First, calculate the GCD of 145 and 22 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 22 = 6 remainder 13 |
| 2 | 22 ÷ 13 = 1 remainder 9 |
| 3 | 13 ÷ 9 = 1 remainder 4 |
| 4 | 9 ÷ 4 = 2 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 47 | 846 |
| 182 and 148 | 13468 |
| 162 and 61 | 9882 |
| 103 and 100 | 10300 |
| 17 and 34 | 34 |