Least Common Multiple (LCM) of 172 and 128
The least common multiple (LCM) of 172 and 128 is 5504.
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 172 and 128?
First, calculate the GCD of 172 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 128 = 1 remainder 44 |
| 2 | 128 ÷ 44 = 2 remainder 40 |
| 3 | 44 ÷ 40 = 1 remainder 4 |
| 4 | 40 ÷ 4 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 102 | 1938 |
| 152 and 54 | 4104 |
| 162 and 114 | 3078 |
| 137 and 182 | 24934 |
| 110 and 72 | 3960 |