Least Common Multiple (LCM) of 94 and 113
The least common multiple (LCM) of 94 and 113 is 10622.
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 113?
First, calculate the GCD of 94 and 113 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 113 = 0 remainder 94 |
| 2 | 113 ÷ 94 = 1 remainder 19 |
| 3 | 94 ÷ 19 = 4 remainder 18 |
| 4 | 19 ÷ 18 = 1 remainder 1 |
| 5 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 42 and 62 | 1302 |
| 137 and 74 | 10138 |
| 199 and 147 | 29253 |
| 88 and 133 | 11704 |
| 82 and 189 | 15498 |