Least Common Multiple (LCM) of 32 and 92
The least common multiple (LCM) of 32 and 92 is 736.
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 32 and 92?
First, calculate the GCD of 32 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 32 ÷ 92 = 0 remainder 32 |
| 2 | 92 ÷ 32 = 2 remainder 28 |
| 3 | 32 ÷ 28 = 1 remainder 4 |
| 4 | 28 ÷ 4 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 49 | 5292 |
| 91 and 85 | 7735 |
| 150 and 194 | 14550 |
| 141 and 133 | 18753 |
| 84 and 37 | 3108 |