Least Common Multiple (LCM) of 164 and 165
The least common multiple (LCM) of 164 and 165 is 27060.
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 164 and 165?
First, calculate the GCD of 164 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 165 = 0 remainder 164 |
| 2 | 165 ÷ 164 = 1 remainder 1 |
| 3 | 164 ÷ 1 = 164 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 33 and 83 | 2739 |
| 112 and 187 | 20944 |
| 49 and 45 | 2205 |
| 178 and 128 | 11392 |
| 160 and 188 | 7520 |