Least Common Multiple (LCM) of 95 and 95
The least common multiple (LCM) of 95 and 95 is 95.
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 95?
First, calculate the GCD of 95 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 95 = 1 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 60 | 300 |
| 115 and 98 | 11270 |
| 128 and 91 | 11648 |
| 18 and 170 | 1530 |
| 12 and 112 | 336 |