Least Common Multiple (LCM) of 196 and 165
The least common multiple (LCM) of 196 and 165 is 32340.
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 196 and 165?
First, calculate the GCD of 196 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 165 = 1 remainder 31 |
| 2 | 165 ÷ 31 = 5 remainder 10 |
| 3 | 31 ÷ 10 = 3 remainder 1 |
| 4 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 57 | 10659 |
| 137 and 26 | 3562 |
| 95 and 42 | 3990 |
| 96 and 99 | 3168 |
| 134 and 139 | 18626 |