Least Common Multiple (LCM) of 95 and 106
The least common multiple (LCM) of 95 and 106 is 10070.
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 106?
First, calculate the GCD of 95 and 106 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 106 = 0 remainder 95 |
| 2 | 106 ÷ 95 = 1 remainder 11 |
| 3 | 95 ÷ 11 = 8 remainder 7 |
| 4 | 11 ÷ 7 = 1 remainder 4 |
| 5 | 7 ÷ 4 = 1 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 48 | 816 |
| 154 and 44 | 308 |
| 75 and 23 | 1725 |
| 78 and 84 | 1092 |
| 85 and 103 | 8755 |