Least Common Multiple (LCM) of 44 and 36
The least common multiple (LCM) of 44 and 36 is 396.
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 36?
First, calculate the GCD of 44 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 36 = 1 remainder 8 |
| 2 | 36 ÷ 8 = 4 remainder 4 |
| 3 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 136 | 19992 |
| 19 and 101 | 1919 |
| 140 and 198 | 13860 |
| 30 and 45 | 90 |
| 68 and 83 | 5644 |