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 |
|---|---|
| 111 and 23 | 2553 |
| 89 and 167 | 14863 |
| 119 and 103 | 12257 |
| 105 and 139 | 14595 |
| 152 and 152 | 152 |