Least Common Multiple (LCM) of 44 and 138
The least common multiple (LCM) of 44 and 138 is 3036.
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 138?
First, calculate the GCD of 44 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 138 = 0 remainder 44 |
| 2 | 138 ÷ 44 = 3 remainder 6 |
| 3 | 44 ÷ 6 = 7 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 121 | 16698 |
| 55 and 50 | 550 |
| 189 and 132 | 8316 |
| 68 and 160 | 2720 |
| 20 and 144 | 720 |