Least Common Multiple (LCM) of 106 and 88
The least common multiple (LCM) of 106 and 88 is 4664.
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 88?
First, calculate the GCD of 106 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 106 ÷ 88 = 1 remainder 18 |
| 2 | 88 ÷ 18 = 4 remainder 16 |
| 3 | 18 ÷ 16 = 1 remainder 2 |
| 4 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 41 and 28 | 1148 |
| 199 and 159 | 31641 |
| 116 and 38 | 2204 |
| 100 and 192 | 4800 |
| 135 and 73 | 9855 |