Least Common Multiple (LCM) of 95 and 111
The least common multiple (LCM) of 95 and 111 is 10545.
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 95 and 111?
First, calculate the GCD of 95 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 111 = 0 remainder 95 |
| 2 | 111 ÷ 95 = 1 remainder 16 |
| 3 | 95 ÷ 16 = 5 remainder 15 |
| 4 | 16 ÷ 15 = 1 remainder 1 |
| 5 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 74 | 3848 |
| 128 and 200 | 3200 |
| 103 and 84 | 8652 |
| 113 and 76 | 8588 |
| 114 and 18 | 342 |