Least Common Multiple (LCM) of 165 and 77
The least common multiple (LCM) of 165 and 77 is 1155.
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 165 and 77?
First, calculate the GCD of 165 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 77 = 2 remainder 11 |
| 2 | 77 ÷ 11 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 154 | 11550 |
| 110 and 168 | 9240 |
| 42 and 15 | 210 |
| 21 and 54 | 378 |
| 58 and 165 | 9570 |