Least Common Multiple (LCM) of 194 and 104
The least common multiple (LCM) of 194 and 104 is 10088.
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 194 and 104?
First, calculate the GCD of 194 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 104 = 1 remainder 90 |
| 2 | 104 ÷ 90 = 1 remainder 14 |
| 3 | 90 ÷ 14 = 6 remainder 6 |
| 4 | 14 ÷ 6 = 2 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 65 | 12090 |
| 90 and 151 | 13590 |
| 122 and 178 | 10858 |
| 119 and 128 | 15232 |
| 160 and 103 | 16480 |