Least Common Multiple (LCM) of 194 and 157
The least common multiple (LCM) of 194 and 157 is 30458.
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 157?
First, calculate the GCD of 194 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 157 = 1 remainder 37 |
| 2 | 157 ÷ 37 = 4 remainder 9 |
| 3 | 37 ÷ 9 = 4 remainder 1 |
| 4 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 97 and 45 | 4365 |
| 194 and 76 | 7372 |
| 74 and 123 | 9102 |
| 149 and 55 | 8195 |
| 104 and 133 | 13832 |