Least Common Multiple (LCM) of 44 and 146
The least common multiple (LCM) of 44 and 146 is 3212.
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 44 and 146?
First, calculate the GCD of 44 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 146 = 0 remainder 44 |
| 2 | 146 ÷ 44 = 3 remainder 14 |
| 3 | 44 ÷ 14 = 3 remainder 2 |
| 4 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 136 | 680 |
| 130 and 190 | 2470 |
| 193 and 89 | 17177 |
| 185 and 137 | 25345 |
| 109 and 126 | 13734 |