Least Common Multiple (LCM) of 194 and 122
The least common multiple (LCM) of 194 and 122 is 11834.
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 122?
First, calculate the GCD of 194 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 122 = 1 remainder 72 |
| 2 | 122 ÷ 72 = 1 remainder 50 |
| 3 | 72 ÷ 50 = 1 remainder 22 |
| 4 | 50 ÷ 22 = 2 remainder 6 |
| 5 | 22 ÷ 6 = 3 remainder 4 |
| 6 | 6 ÷ 4 = 1 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 91 and 194 | 17654 |
| 18 and 72 | 72 |
| 146 and 132 | 9636 |
| 24 and 38 | 456 |
| 137 and 76 | 10412 |