Least Common Multiple (LCM) of 165 and 88
The least common multiple (LCM) of 165 and 88 is 1320.
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 88?
First, calculate the GCD of 165 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 88 = 1 remainder 77 |
| 2 | 88 ÷ 77 = 1 remainder 11 |
| 3 | 77 ÷ 11 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 52 and 53 | 2756 |
| 120 and 12 | 120 |
| 61 and 38 | 2318 |
| 170 and 176 | 14960 |
| 131 and 96 | 12576 |