Least Common Multiple (LCM) of 182 and 97
The least common multiple (LCM) of 182 and 97 is 17654.
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 182 and 97?
First, calculate the GCD of 182 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 97 = 1 remainder 85 |
| 2 | 97 ÷ 85 = 1 remainder 12 |
| 3 | 85 ÷ 12 = 7 remainder 1 |
| 4 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 27 and 128 | 3456 |
| 103 and 181 | 18643 |
| 107 and 175 | 18725 |
| 120 and 23 | 2760 |
| 136 and 173 | 23528 |