Least Common Multiple (LCM) of 31 and 92
The least common multiple (LCM) of 31 and 92 is 2852.
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 92?
First, calculate the GCD of 31 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 31 ÷ 92 = 0 remainder 31 |
| 2 | 92 ÷ 31 = 2 remainder 30 |
| 3 | 31 ÷ 30 = 1 remainder 1 |
| 4 | 30 ÷ 1 = 30 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 130 | 7020 |
| 90 and 93 | 2790 |
| 199 and 123 | 24477 |
| 190 and 16 | 1520 |
| 112 and 64 | 448 |