Least Common Multiple (LCM) of 128 and 97
The least common multiple (LCM) of 128 and 97 is 12416.
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 97?
First, calculate the GCD of 128 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 97 = 1 remainder 31 |
| 2 | 97 ÷ 31 = 3 remainder 4 |
| 3 | 31 ÷ 4 = 7 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 48 | 1776 |
| 88 and 190 | 8360 |
| 150 and 195 | 1950 |
| 95 and 157 | 14915 |
| 76 and 14 | 532 |