Least Common Multiple (LCM) of 69 and 94
The least common multiple (LCM) of 69 and 94 is 6486.
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 94?
First, calculate the GCD of 69 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 69 ÷ 94 = 0 remainder 69 |
| 2 | 94 ÷ 69 = 1 remainder 25 |
| 3 | 69 ÷ 25 = 2 remainder 19 |
| 4 | 25 ÷ 19 = 1 remainder 6 |
| 5 | 19 ÷ 6 = 3 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 172 | 4300 |
| 161 and 119 | 2737 |
| 161 and 116 | 18676 |
| 102 and 122 | 6222 |
| 194 and 197 | 38218 |