Least Common Multiple (LCM) of 176 and 91
The least common multiple (LCM) of 176 and 91 is 16016.
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 91?
First, calculate the GCD of 176 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 91 = 1 remainder 85 |
| 2 | 91 ÷ 85 = 1 remainder 6 |
| 3 | 85 ÷ 6 = 14 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 41 and 23 | 943 |
| 42 and 56 | 168 |
| 165 and 90 | 990 |
| 191 and 138 | 26358 |
| 160 and 81 | 12960 |