Least Common Multiple (LCM) of 192 and 104
The least common multiple (LCM) of 192 and 104 is 2496.
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 192 and 104?
First, calculate the GCD of 192 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 104 = 1 remainder 88 |
| 2 | 104 ÷ 88 = 1 remainder 16 |
| 3 | 88 ÷ 16 = 5 remainder 8 |
| 4 | 16 ÷ 8 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 80 | 13520 |
| 141 and 23 | 3243 |
| 131 and 101 | 13231 |
| 107 and 69 | 7383 |
| 143 and 100 | 14300 |