Least Common Multiple (LCM) of 54 and 164
The least common multiple (LCM) of 54 and 164 is 4428.
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 54 and 164?
First, calculate the GCD of 54 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 54 ÷ 164 = 0 remainder 54 |
| 2 | 164 ÷ 54 = 3 remainder 2 |
| 3 | 54 ÷ 2 = 27 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 46 | 2346 |
| 163 and 110 | 17930 |
| 174 and 45 | 2610 |
| 131 and 77 | 10087 |
| 66 and 150 | 1650 |