Least Common Multiple (LCM) of 94 and 107
The least common multiple (LCM) of 94 and 107 is 10058.
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 107?
First, calculate the GCD of 94 and 107 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 107 = 0 remainder 94 |
| 2 | 107 ÷ 94 = 1 remainder 13 |
| 3 | 94 ÷ 13 = 7 remainder 3 |
| 4 | 13 ÷ 3 = 4 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 42 | 1302 |
| 20 and 49 | 980 |
| 166 and 123 | 20418 |
| 141 and 126 | 5922 |
| 105 and 140 | 420 |