Least Common Multiple (LCM) of 164 and 171
The least common multiple (LCM) of 164 and 171 is 28044.
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 171?
First, calculate the GCD of 164 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 171 = 0 remainder 164 |
| 2 | 171 ÷ 164 = 1 remainder 7 |
| 3 | 164 ÷ 7 = 23 remainder 3 |
| 4 | 7 ÷ 3 = 2 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 91 | 13650 |
| 108 and 88 | 2376 |
| 196 and 60 | 2940 |
| 77 and 91 | 1001 |
| 187 and 160 | 29920 |