Least Common Multiple (LCM) of 194 and 60
The least common multiple (LCM) of 194 and 60 is 5820.
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 60?
First, calculate the GCD of 194 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 60 = 3 remainder 14 |
| 2 | 60 ÷ 14 = 4 remainder 4 |
| 3 | 14 ÷ 4 = 3 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 37 | 5624 |
| 148 and 171 | 25308 |
| 56 and 23 | 1288 |
| 165 and 178 | 29370 |
| 109 and 18 | 1962 |