Least Common Multiple (LCM) of 187 and 96
The least common multiple (LCM) of 187 and 96 is 17952.
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 187 and 96?
First, calculate the GCD of 187 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 96 = 1 remainder 91 |
| 2 | 96 ÷ 91 = 1 remainder 5 |
| 3 | 91 ÷ 5 = 18 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 83 and 103 | 8549 |
| 197 and 77 | 15169 |
| 34 and 42 | 714 |
| 120 and 101 | 12120 |
| 196 and 148 | 7252 |