Least Common Multiple (LCM) of 31 and 94
The least common multiple (LCM) of 31 and 94 is 2914.
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 31 and 94?
First, calculate the GCD of 31 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 31 ÷ 94 = 0 remainder 31 |
| 2 | 94 ÷ 31 = 3 remainder 1 |
| 3 | 31 ÷ 1 = 31 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 41 and 42 | 1722 |
| 106 and 130 | 6890 |
| 194 and 197 | 38218 |
| 30 and 191 | 5730 |
| 145 and 116 | 580 |