Least Common Multiple (LCM) of 97 and 92
The least common multiple (LCM) of 97 and 92 is 8924.
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 97 and 92?
First, calculate the GCD of 97 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 97 ÷ 92 = 1 remainder 5 |
| 2 | 92 ÷ 5 = 18 remainder 2 |
| 3 | 5 ÷ 2 = 2 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 143 and 133 | 19019 |
| 38 and 18 | 342 |
| 117 and 89 | 10413 |
| 132 and 52 | 1716 |
| 56 and 166 | 4648 |