Least Common Multiple (LCM) of 104 and 111
The least common multiple (LCM) of 104 and 111 is 11544.
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 111?
First, calculate the GCD of 104 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 111 = 0 remainder 104 |
| 2 | 111 ÷ 104 = 1 remainder 7 |
| 3 | 104 ÷ 7 = 14 remainder 6 |
| 4 | 7 ÷ 6 = 1 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 87 and 156 | 4524 |
| 174 and 45 | 2610 |
| 144 and 71 | 10224 |
| 126 and 191 | 24066 |
| 66 and 63 | 1386 |