Least Common Multiple (LCM) of 97 and 66
The least common multiple (LCM) of 97 and 66 is 6402.
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 66?
First, calculate the GCD of 97 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 97 ÷ 66 = 1 remainder 31 |
| 2 | 66 ÷ 31 = 2 remainder 4 |
| 3 | 31 ÷ 4 = 7 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 183 and 190 | 34770 |
| 139 and 123 | 17097 |
| 59 and 130 | 7670 |
| 173 and 99 | 17127 |
| 38 and 161 | 6118 |