Least Common Multiple (LCM) of 37 and 176
The least common multiple (LCM) of 37 and 176 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 37 and 176?
First, calculate the GCD of 37 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 37 ÷ 176 = 0 remainder 37 |
| 2 | 176 ÷ 37 = 4 remainder 28 |
| 3 | 37 ÷ 28 = 1 remainder 9 |
| 4 | 28 ÷ 9 = 3 remainder 1 |
| 5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 107 | 20651 |
| 154 and 67 | 10318 |
| 75 and 75 | 75 |
| 167 and 153 | 25551 |
| 176 and 113 | 19888 |