Least Common Multiple (LCM) of 106 and 18
The least common multiple (LCM) of 106 and 18 is 954.
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 18?
First, calculate the GCD of 106 and 18 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 106 ÷ 18 = 5 remainder 16 |
| 2 | 18 ÷ 16 = 1 remainder 2 |
| 3 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 150 | 300 |
| 93 and 78 | 2418 |
| 186 and 73 | 13578 |
| 147 and 198 | 9702 |
| 29 and 70 | 2030 |