Least Common Multiple (LCM) of 165 and 57
The least common multiple (LCM) of 165 and 57 is 3135.
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 57?
First, calculate the GCD of 165 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 57 = 2 remainder 51 |
| 2 | 57 ÷ 51 = 1 remainder 6 |
| 3 | 51 ÷ 6 = 8 remainder 3 |
| 4 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 96 | 480 |
| 150 and 163 | 24450 |
| 19 and 111 | 2109 |
| 119 and 191 | 22729 |
| 74 and 125 | 9250 |