Least Common Multiple (LCM) of 194 and 118
The least common multiple (LCM) of 194 and 118 is 11446.
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 118?
First, calculate the GCD of 194 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 118 = 1 remainder 76 |
| 2 | 118 ÷ 76 = 1 remainder 42 |
| 3 | 76 ÷ 42 = 1 remainder 34 |
| 4 | 42 ÷ 34 = 1 remainder 8 |
| 5 | 34 ÷ 8 = 4 remainder 2 |
| 6 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 164 | 7380 |
| 56 and 113 | 6328 |
| 52 and 45 | 2340 |
| 74 and 68 | 2516 |
| 144 and 37 | 5328 |