Least Common Multiple (LCM) of 93 and 115
The least common multiple (LCM) of 93 and 115 is 10695.
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 93 and 115?
First, calculate the GCD of 93 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 115 = 0 remainder 93 |
| 2 | 115 ÷ 93 = 1 remainder 22 |
| 3 | 93 ÷ 22 = 4 remainder 5 |
| 4 | 22 ÷ 5 = 4 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 58 | 4350 |
| 128 and 188 | 6016 |
| 130 and 13 | 130 |
| 99 and 189 | 2079 |
| 48 and 140 | 1680 |