Least Common Multiple (LCM) of 95 and 108
The least common multiple (LCM) of 95 and 108 is 10260.
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 108?
First, calculate the GCD of 95 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 108 = 0 remainder 95 |
| 2 | 108 ÷ 95 = 1 remainder 13 |
| 3 | 95 ÷ 13 = 7 remainder 4 |
| 4 | 13 ÷ 4 = 3 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 75 | 300 |
| 45 and 180 | 180 |
| 47 and 30 | 1410 |
| 131 and 183 | 23973 |
| 127 and 128 | 16256 |