Least Common Multiple (LCM) of 176 and 37
The least common multiple (LCM) of 176 and 37 is 6512.
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 176 and 37?
First, calculate the GCD of 176 and 37 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 37 = 4 remainder 28 |
| 2 | 37 ÷ 28 = 1 remainder 9 |
| 3 | 28 ÷ 9 = 3 remainder 1 |
| 4 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 44 | 7964 |
| 155 and 24 | 3720 |
| 165 and 38 | 6270 |
| 105 and 32 | 3360 |
| 98 and 184 | 9016 |