Least Common Multiple (LCM) of 108 and 32
The least common multiple (LCM) of 108 and 32 is 864.
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 108 and 32?
First, calculate the GCD of 108 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 108 ÷ 32 = 3 remainder 12 |
| 2 | 32 ÷ 12 = 2 remainder 8 |
| 3 | 12 ÷ 8 = 1 remainder 4 |
| 4 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 58 | 5974 |
| 43 and 160 | 6880 |
| 190 and 63 | 11970 |
| 122 and 136 | 8296 |
| 148 and 184 | 6808 |