Least Common Multiple (LCM) of 106 and 105
The least common multiple (LCM) of 106 and 105 is 11130.
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 106 and 105?
First, calculate the GCD of 106 and 105 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 106 ÷ 105 = 1 remainder 1 |
| 2 | 105 ÷ 1 = 105 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 156 and 73 | 11388 |
| 46 and 163 | 7498 |
| 32 and 42 | 672 |
| 27 and 54 | 54 |
| 14 and 87 | 1218 |