Least Common Multiple (LCM) of 128 and 125
The least common multiple (LCM) of 128 and 125 is 16000.
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 128 and 125?
First, calculate the GCD of 128 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 125 = 1 remainder 3 |
| 2 | 125 ÷ 3 = 41 remainder 2 |
| 3 | 3 ÷ 2 = 1 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 61 | 7869 |
| 134 and 18 | 1206 |
| 167 and 36 | 6012 |
| 33 and 148 | 4884 |
| 171 and 113 | 19323 |