Least Common Multiple (LCM) of 22 and 146
The least common multiple (LCM) of 22 and 146 is 1606.
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 22 and 146?
First, calculate the GCD of 22 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 22 ÷ 146 = 0 remainder 22 |
| 2 | 146 ÷ 22 = 6 remainder 14 |
| 3 | 22 ÷ 14 = 1 remainder 8 |
| 4 | 14 ÷ 8 = 1 remainder 6 |
| 5 | 8 ÷ 6 = 1 remainder 2 |
| 6 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 113 | 13560 |
| 151 and 60 | 9060 |
| 10 and 139 | 1390 |
| 155 and 160 | 4960 |
| 45 and 128 | 5760 |