Least Common Multiple (LCM) of 96 and 37
The least common multiple (LCM) of 96 and 37 is 3552.
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 37?
First, calculate the GCD of 96 and 37 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 96 ÷ 37 = 2 remainder 22 |
| 2 | 37 ÷ 22 = 1 remainder 15 |
| 3 | 22 ÷ 15 = 1 remainder 7 |
| 4 | 15 ÷ 7 = 2 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 134 | 11926 |
| 200 and 81 | 16200 |
| 66 and 183 | 4026 |
| 173 and 28 | 4844 |
| 43 and 33 | 1419 |