Least Common Multiple (LCM) of 162 and 97
The least common multiple (LCM) of 162 and 97 is 15714.
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 162 and 97?
First, calculate the GCD of 162 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 97 = 1 remainder 65 |
| 2 | 97 ÷ 65 = 1 remainder 32 |
| 3 | 65 ÷ 32 = 2 remainder 1 |
| 4 | 32 ÷ 1 = 32 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 80 | 2640 |
| 152 and 106 | 8056 |
| 160 and 91 | 14560 |
| 129 and 172 | 516 |
| 145 and 183 | 26535 |