Least Common Multiple (LCM) of 96 and 188
The least common multiple (LCM) of 96 and 188 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 96 and 188?
First, calculate the GCD of 96 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 96 ÷ 188 = 0 remainder 96 |
| 2 | 188 ÷ 96 = 1 remainder 92 |
| 3 | 96 ÷ 92 = 1 remainder 4 |
| 4 | 92 ÷ 4 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 40 | 7880 |
| 167 and 61 | 10187 |
| 148 and 79 | 11692 |
| 131 and 171 | 22401 |
| 83 and 45 | 3735 |