Least Common Multiple (LCM) of 108 and 95
The least common multiple (LCM) of 108 and 95 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 108 and 95?
First, calculate the GCD of 108 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 108 ÷ 95 = 1 remainder 13 |
| 2 | 95 ÷ 13 = 7 remainder 4 |
| 3 | 13 ÷ 4 = 3 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 47 | 5405 |
| 96 and 176 | 1056 |
| 91 and 165 | 15015 |
| 112 and 61 | 6832 |
| 111 and 150 | 5550 |