Least Common Multiple (LCM) of 44 and 154
The least common multiple (LCM) of 44 and 154 is 308.
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 154?
First, calculate the GCD of 44 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 154 = 0 remainder 44 |
| 2 | 154 ÷ 44 = 3 remainder 22 |
| 3 | 44 ÷ 22 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 35 | 1365 |
| 172 and 155 | 26660 |
| 23 and 38 | 874 |
| 119 and 18 | 2142 |
| 103 and 14 | 1442 |