Least Common Multiple (LCM) of 94 and 69
The least common multiple (LCM) of 94 and 69 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 94 and 69?
First, calculate the GCD of 94 and 69 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 69 = 1 remainder 25 |
| 2 | 69 ÷ 25 = 2 remainder 19 |
| 3 | 25 ÷ 19 = 1 remainder 6 |
| 4 | 19 ÷ 6 = 3 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 108 | 13500 |
| 174 and 180 | 5220 |
| 110 and 19 | 2090 |
| 90 and 186 | 2790 |
| 111 and 165 | 6105 |