Least Common Multiple (LCM) of 194 and 58
The least common multiple (LCM) of 194 and 58 is 5626.
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 58?
First, calculate the GCD of 194 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 58 = 3 remainder 20 |
| 2 | 58 ÷ 20 = 2 remainder 18 |
| 3 | 20 ÷ 18 = 1 remainder 2 |
| 4 | 18 ÷ 2 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 193 | 27985 |
| 149 and 93 | 13857 |
| 11 and 192 | 2112 |
| 153 and 134 | 20502 |
| 34 and 124 | 2108 |