Least Common Multiple (LCM) of 188 and 96
The least common multiple (LCM) of 188 and 96 is 4512.
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 188 and 96?
First, calculate the GCD of 188 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 96 = 1 remainder 92 |
| 2 | 96 ÷ 92 = 1 remainder 4 |
| 3 | 92 ÷ 4 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 200 | 17800 |
| 97 and 96 | 9312 |
| 13 and 131 | 1703 |
| 59 and 187 | 11033 |
| 162 and 145 | 23490 |