Least Common Multiple (LCM) of 104 and 120
The least common multiple (LCM) of 104 and 120 is 1560.
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 120?
First, calculate the GCD of 104 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 120 = 0 remainder 104 |
| 2 | 120 ÷ 104 = 1 remainder 16 |
| 3 | 104 ÷ 16 = 6 remainder 8 |
| 4 | 16 ÷ 8 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 86 | 7568 |
| 68 and 75 | 5100 |
| 96 and 33 | 1056 |
| 141 and 16 | 2256 |
| 43 and 77 | 3311 |