Least Common Multiple (LCM) of 194 and 59
The least common multiple (LCM) of 194 and 59 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 59?
First, calculate the GCD of 194 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 59 = 3 remainder 17 |
| 2 | 59 ÷ 17 = 3 remainder 8 |
| 3 | 17 ÷ 8 = 2 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 156 and 32 | 1248 |
| 138 and 167 | 23046 |
| 164 and 70 | 5740 |
| 67 and 62 | 4154 |
| 84 and 127 | 10668 |