Least Common Multiple (LCM) of 72 and 44
The least common multiple (LCM) of 72 and 44 is 792.
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 72 and 44?
First, calculate the GCD of 72 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 72 ÷ 44 = 1 remainder 28 |
| 2 | 44 ÷ 28 = 1 remainder 16 |
| 3 | 28 ÷ 16 = 1 remainder 12 |
| 4 | 16 ÷ 12 = 1 remainder 4 |
| 5 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 57 | 4560 |
| 112 and 186 | 10416 |
| 46 and 147 | 6762 |
| 193 and 61 | 11773 |
| 12 and 15 | 60 |