Least Common Multiple (LCM) of 108 and 93
The least common multiple (LCM) of 108 and 93 is 3348.
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 93?
First, calculate the GCD of 108 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 108 ÷ 93 = 1 remainder 15 |
| 2 | 93 ÷ 15 = 6 remainder 3 |
| 3 | 15 ÷ 3 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 162 | 3078 |
| 35 and 78 | 2730 |
| 53 and 103 | 5459 |
| 129 and 164 | 21156 |
| 171 and 93 | 5301 |