Least Common Multiple (LCM) of 95 and 116
The least common multiple (LCM) of 95 and 116 is 11020.
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 116?
First, calculate the GCD of 95 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 116 = 0 remainder 95 |
| 2 | 116 ÷ 95 = 1 remainder 21 |
| 3 | 95 ÷ 21 = 4 remainder 11 |
| 4 | 21 ÷ 11 = 1 remainder 10 |
| 5 | 11 ÷ 10 = 1 remainder 1 |
| 6 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 162 | 9396 |
| 98 and 83 | 8134 |
| 144 and 170 | 12240 |
| 135 and 173 | 23355 |
| 69 and 18 | 414 |