Least Common Multiple (LCM) of 116 and 32
The least common multiple (LCM) of 116 and 32 is 928.
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 116 and 32?
First, calculate the GCD of 116 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 32 = 3 remainder 20 |
| 2 | 32 ÷ 20 = 1 remainder 12 |
| 3 | 20 ÷ 12 = 1 remainder 8 |
| 4 | 12 ÷ 8 = 1 remainder 4 |
| 5 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 29 | 4901 |
| 150 and 34 | 2550 |
| 186 and 146 | 13578 |
| 79 and 45 | 3555 |
| 190 and 197 | 37430 |