Least Common Multiple (LCM) of 97 and 73
The least common multiple (LCM) of 97 and 73 is 7081.
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 73?
First, calculate the GCD of 97 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 97 ÷ 73 = 1 remainder 24 |
| 2 | 73 ÷ 24 = 3 remainder 1 |
| 3 | 24 ÷ 1 = 24 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 63 | 7812 |
| 169 and 154 | 26026 |
| 122 and 27 | 3294 |
| 32 and 112 | 224 |
| 165 and 110 | 330 |