Least Common Multiple (LCM) of 194 and 156
The least common multiple (LCM) of 194 and 156 is 15132.
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 156?
First, calculate the GCD of 194 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 156 = 1 remainder 38 |
| 2 | 156 ÷ 38 = 4 remainder 4 |
| 3 | 38 ÷ 4 = 9 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 79 | 9954 |
| 103 and 66 | 6798 |
| 17 and 55 | 935 |
| 163 and 100 | 16300 |
| 49 and 149 | 7301 |