Least Common Multiple (LCM) of 105 and 94
The least common multiple (LCM) of 105 and 94 is 9870.
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 105 and 94?
First, calculate the GCD of 105 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 105 ÷ 94 = 1 remainder 11 |
| 2 | 94 ÷ 11 = 8 remainder 6 |
| 3 | 11 ÷ 6 = 1 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 72 and 40 | 360 |
| 141 and 34 | 4794 |
| 147 and 176 | 25872 |
| 152 and 195 | 29640 |
| 13 and 102 | 1326 |