Least Common Multiple (LCM) of 44 and 158
The least common multiple (LCM) of 44 and 158 is 3476.
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 158?
First, calculate the GCD of 44 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 158 = 0 remainder 44 |
| 2 | 158 ÷ 44 = 3 remainder 26 |
| 3 | 44 ÷ 26 = 1 remainder 18 |
| 4 | 26 ÷ 18 = 1 remainder 8 |
| 5 | 18 ÷ 8 = 2 remainder 2 |
| 6 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 145 | 435 |
| 46 and 96 | 2208 |
| 14 and 193 | 2702 |
| 111 and 146 | 16206 |
| 169 and 85 | 14365 |