Least Common Multiple (LCM) of 110 and 104
The least common multiple (LCM) of 110 and 104 is 5720.
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 110 and 104?
First, calculate the GCD of 110 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 104 = 1 remainder 6 |
| 2 | 104 ÷ 6 = 17 remainder 2 |
| 3 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 18 | 1818 |
| 128 and 26 | 1664 |
| 112 and 150 | 8400 |
| 118 and 164 | 9676 |
| 35 and 135 | 945 |