Least Common Multiple (LCM) of 69 and 194
The least common multiple (LCM) of 69 and 194 is 13386.
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 69 and 194?
First, calculate the GCD of 69 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 69 ÷ 194 = 0 remainder 69 |
| 2 | 194 ÷ 69 = 2 remainder 56 |
| 3 | 69 ÷ 56 = 1 remainder 13 |
| 4 | 56 ÷ 13 = 4 remainder 4 |
| 5 | 13 ÷ 4 = 3 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 53 | 7738 |
| 198 and 181 | 35838 |
| 153 and 178 | 27234 |
| 192 and 98 | 9408 |
| 41 and 99 | 4059 |