Least Common Multiple (LCM) of 194 and 62
The least common multiple (LCM) of 194 and 62 is 6014.
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 62?
First, calculate the GCD of 194 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 62 = 3 remainder 8 |
| 2 | 62 ÷ 8 = 7 remainder 6 |
| 3 | 8 ÷ 6 = 1 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 40 and 196 | 1960 |
| 198 and 106 | 10494 |
| 114 and 145 | 16530 |
| 43 and 159 | 6837 |
| 159 and 107 | 17013 |