Least Common Multiple (LCM) of 97 and 166
The least common multiple (LCM) of 97 and 166 is 16102.
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 166?
First, calculate the GCD of 97 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 97 ÷ 166 = 0 remainder 97 |
| 2 | 166 ÷ 97 = 1 remainder 69 |
| 3 | 97 ÷ 69 = 1 remainder 28 |
| 4 | 69 ÷ 28 = 2 remainder 13 |
| 5 | 28 ÷ 13 = 2 remainder 2 |
| 6 | 13 ÷ 2 = 6 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 74 | 1110 |
| 50 and 150 | 150 |
| 84 and 52 | 1092 |
| 12 and 42 | 84 |
| 113 and 123 | 13899 |