Least Common Multiple (LCM) of 104 and 18
The least common multiple (LCM) of 104 and 18 is 936.
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 104 and 18?
First, calculate the GCD of 104 and 18 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 18 = 5 remainder 14 |
| 2 | 18 ÷ 14 = 1 remainder 4 |
| 3 | 14 ÷ 4 = 3 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 64 | 3392 |
| 78 and 19 | 1482 |
| 162 and 121 | 19602 |
| 121 and 164 | 19844 |
| 118 and 154 | 9086 |