Least Common Multiple (LCM) of 115 and 93
The least common multiple (LCM) of 115 and 93 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 115 and 93?
First, calculate the GCD of 115 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 115 ÷ 93 = 1 remainder 22 |
| 2 | 93 ÷ 22 = 4 remainder 5 |
| 3 | 22 ÷ 5 = 4 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 68 | 4828 |
| 176 and 47 | 8272 |
| 81 and 51 | 1377 |
| 160 and 129 | 20640 |
| 29 and 164 | 4756 |