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 |
|---|---|
| 127 and 114 | 14478 |
| 80 and 64 | 320 |
| 103 and 107 | 11021 |
| 91 and 154 | 2002 |
| 160 and 59 | 9440 |