Least Common Multiple (LCM) of 109 and 94
The least common multiple (LCM) of 109 and 94 is 10246.
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 109 and 94?
First, calculate the GCD of 109 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 109 ÷ 94 = 1 remainder 15 |
| 2 | 94 ÷ 15 = 6 remainder 4 |
| 3 | 15 ÷ 4 = 3 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 81 and 94 | 7614 |
| 155 and 144 | 22320 |
| 16 and 68 | 272 |
| 150 and 125 | 750 |
| 130 and 116 | 7540 |