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 |
|---|---|
| 63 and 13 | 819 |
| 173 and 110 | 19030 |
| 120 and 165 | 1320 |
| 48 and 89 | 4272 |
| 15 and 46 | 690 |