Least Common Multiple (LCM) of 107 and 32
The least common multiple (LCM) of 107 and 32 is 3424.
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 107 and 32?
First, calculate the GCD of 107 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 107 ÷ 32 = 3 remainder 11 |
| 2 | 32 ÷ 11 = 2 remainder 10 |
| 3 | 11 ÷ 10 = 1 remainder 1 |
| 4 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 11 and 145 | 1595 |
| 18 and 13 | 234 |
| 52 and 85 | 4420 |
| 47 and 82 | 3854 |
| 34 and 84 | 1428 |